{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": 3
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python_defaultSpec_1597196792501",
   "display_name": "Python 3.7.6 64-bit ('base': conda)"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "(50, 2)"
     },
     "metadata": {},
     "execution_count": 102
    }
   ],
   "source": [
    "X = loadmat('./ex7_data/ex7data1.mat')['X']\n",
    "# X = mat[:,0]\n",
    "# y = mat[:,1]\n",
    "# X.shape, y.shape\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_display():\n",
    "    plt.plot(X[:,0],X[:,1],'bo')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 362.5625 248.518125\" width=\"362.5625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 248.518125 \r\nL 362.5625 248.518125 \r\nL 362.5625 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\nL 355.3625 7.2 \r\nL 20.5625 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m9679b035a8\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"24.185738\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 1 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n      </defs>\r\n      <g transform=\"translate(21.004488 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"88.518742\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 2 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      </defs>\r\n      <g transform=\"translate(85.337492 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"152.851745\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 3 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(149.670495 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.184749\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 4 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(214.003499 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"281.517752\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 5 -->\r\n      <defs>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(278.336502 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"345.850756\" xlink:href=\"#m9679b035a8\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 6 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      </defs>\r\n      <g transform=\"translate(342.669506 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"mf556892361\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#mf556892361\" y=\"209.409311\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 3 -->\r\n      <g transform=\"translate(7.2 213.20853)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#mf556892361\" y=\"165.330236\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(7.2 169.129454)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#mf556892361\" y=\"121.25116\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(7.2 125.050378)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#mf556892361\" y=\"77.172084\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(7.2 80.971303)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#mf556892361\" y=\"33.093008\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 7 -->\r\n      <defs>\r\n       <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-55\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 36.892227)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-55\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_12\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"m2045ed3f88\" style=\"stroke:#0000ff;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p7042753a65)\">\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"177.398818\" xlink:href=\"#m2045ed3f88\" y=\"192.257584\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"251.144557\" xlink:href=\"#m2045ed3f88\" y=\"83.599778\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"130.700726\" xlink:href=\"#m2045ed3f88\" y=\"147.169889\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"137.748587\" xlink:href=\"#m2045ed3f88\" y=\"177.874539\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"142.980496\" xlink:href=\"#m2045ed3f88\" y=\"157.594073\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.151347\" xlink:href=\"#m2045ed3f88\" y=\"55.644706\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"183.461725\" xlink:href=\"#m2045ed3f88\" y=\"181.513923\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"340.144318\" xlink:href=\"#m2045ed3f88\" y=\"47.164436\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"212.610284\" xlink:href=\"#m2045ed3f88\" y=\"116.911724\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"253.329305\" xlink:href=\"#m2045ed3f88\" y=\"93.776703\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"254.116506\" xlink:href=\"#m2045ed3f88\" y=\"103.723085\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"241.099485\" xlink:href=\"#m2045ed3f88\" y=\"100.923411\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"229.516992\" xlink:href=\"#m2045ed3f88\" y=\"123.248224\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"297.220485\" xlink:href=\"#m2045ed3f88\" y=\"136.17247\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"142.290852\" xlink:href=\"#m2045ed3f88\" y=\"175.555825\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"322.386559\" xlink:href=\"#m2045ed3f88\" y=\"63.41437\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"261.338398\" xlink:href=\"#m2045ed3f88\" y=\"91.927947\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"143.234822\" xlink:href=\"#m2045ed3f88\" y=\"137.716622\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.604502\" xlink:href=\"#m2045ed3f88\" y=\"17.083636\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"293.262628\" xlink:href=\"#m2045ed3f88\" y=\"136.832712\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"327.022293\" xlink:href=\"#m2045ed3f88\" y=\"47.152472\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"190.144596\" xlink:href=\"#m2045ed3f88\" y=\"129.944403\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"322.650842\" xlink:href=\"#m2045ed3f88\" y=\"71.863379\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"234.134469\" xlink:href=\"#m2045ed3f88\" y=\"134.940844\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"123.034487\" xlink:href=\"#m2045ed3f88\" y=\"170.421775\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"167.251338\" xlink:href=\"#m2045ed3f88\" y=\"123.783245\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"276.981504\" xlink:href=\"#m2045ed3f88\" y=\"79.154773\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"332.531105\" xlink:href=\"#m2045ed3f88\" y=\"116.473294\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"141.069042\" xlink:href=\"#m2045ed3f88\" y=\"129.231337\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.032472\" xlink:href=\"#m2045ed3f88\" y=\"116.827135\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"174.933032\" xlink:href=\"#m2045ed3f88\" y=\"81.887952\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"338.113692\" xlink:href=\"#m2045ed3f88\" y=\"98.267596\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"159.537175\" xlink:href=\"#m2045ed3f88\" y=\"171.629029\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"302.844511\" xlink:href=\"#m2045ed3f88\" y=\"135.323742\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"177.004083\" xlink:href=\"#m2045ed3f88\" y=\"140.408873\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"267.150834\" xlink:href=\"#m2045ed3f88\" y=\"65.960554\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"131.991531\" xlink:href=\"#m2045ed3f88\" y=\"177.188835\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"313.702052\" xlink:href=\"#m2045ed3f88\" y=\"91.300259\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"75.465391\" xlink:href=\"#m2045ed3f88\" y=\"198.498027\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"237.933088\" xlink:href=\"#m2045ed3f88\" y=\"116.353766\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"244.269229\" xlink:href=\"#m2045ed3f88\" y=\"76.041906\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"164.38658\" xlink:href=\"#m2045ed3f88\" y=\"146.073836\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"155.009554\" xlink:href=\"#m2045ed3f88\" y=\"166.26503\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"256.385949\" xlink:href=\"#m2045ed3f88\" y=\"82.470741\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"150.522157\" xlink:href=\"#m2045ed3f88\" y=\"196.174642\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"215.368144\" xlink:href=\"#m2045ed3f88\" y=\"103.278474\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"35.780682\" xlink:href=\"#m2045ed3f88\" y=\"214.756364\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"83.304581\" xlink:href=\"#m2045ed3f88\" y=\"118.118086\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"214.305646\" xlink:href=\"#m2045ed3f88\" y=\"143.055884\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"289.106151\" xlink:href=\"#m2045ed3f88\" y=\"73.422106\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 20.5625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 355.3625 224.64 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 20.5625 7.2 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p7042753a65\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"20.5625\" y=\"7.2\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "data_display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2"
     },
     "metadata": {},
     "execution_count": 105
    }
   ],
   "source": [
    "a = np.array([[1,2,3],[1,2,3],[1,2,3]])\n",
    "# for i in a:\n",
    "#     print(i[2])\n",
    "# b = np.zeros(3)\n",
    "# np.append(b,2)\n",
    "a[1,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "float"
     },
     "metadata": {},
     "execution_count": 106
    }
   ],
   "source": [
    "type(float(X[:,0][0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "c = np.zeros(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "def min_centroid(xi, uj):\n",
    "    distance = np.zeros(uj.shape[0])\n",
    "    for j in range(uj.shape[0]):\n",
    "            for i in range(len(xi)):\n",
    "                distance[j]+=(xi[i]-uj[j,i])**2\n",
    "    min_loc = np.argmin(distance)\n",
    "    return min_loc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "numpy.argmax(...) 获得括号里ndarray里的最大元素的索引\n",
    "\n",
    "numpy.argmin(...) 获得括号里ndarray里的最小元素的索引"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_closest_centroids(X, uj):\n",
    "    centr_classfi = []\n",
    "    for x in X:\n",
    "       centr_classfi.append(min_centroid(x,uj))\n",
    "    return centr_classfi\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "          0         1\n0  3.381563  3.389113\n1  4.527875  5.854178\n2  2.655682  4.411995\n3  2.765235  3.715414\n4  2.846560  4.175506",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>0</th>\n      <th>1</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>3.381563</td>\n      <td>3.389113</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>4.527875</td>\n      <td>5.854178</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2.655682</td>\n      <td>4.411995</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>2.765235</td>\n      <td>3.715414</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>2.846560</td>\n      <td>4.175506</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 110
    }
   ],
   "source": [
    "dfb = pd.DataFrame(X)\n",
    "dfb.insert(dfb.shape[1],'class',1)\n",
    "dfb.iloc[:,0:2].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotData(X, centres, centr_classfi, loc=1):\n",
    "    # assert type(X)==pd.DataFrame, 'X in plotDate must is pd.DataFrame'\n",
    "    colors = ['b','g','gold','darkorange','salmon','olivedrab', \n",
    "              'maroon', 'navy', 'sienna', 'tomato', 'lightgray', 'gainsboro'\n",
    "             'coral', 'aliceblue', 'dimgray', 'mintcream', 'mintcream']\n",
    "    X_df = pd.DataFrame(X)\n",
    "    X_df.insert(X_df.shape[1],'class',centr_classfi)\n",
    "\n",
    "    num_centr = set(centr_classfi)\n",
    "    for i in num_centr:\n",
    "        xx = X_df[X_df['class'] == i].values[:,:2]\n",
    "        plt.scatter(xx[:,0],xx[:,1],c=colors[i], label='Cluster %d'%i)\n",
    "    plt.legend(loc=loc)\n",
    "    # print(uj)\n",
    "    for j in range(centres[0].shape[0]):\n",
    "        xx,yy=[],[]\n",
    "        for centre in centres:\n",
    "            xx.append(centre[j,0:1])\n",
    "            yy.append(centre[j,1:2])\n",
    "        plt.plot(xx,yy,'rx--',markersize=10)\n",
    "    # plt.plot(centres[len(centres)-1],'kx',markersize=10)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def init_clutisd(K, X):\n",
    "    #随机初始化 簇中心点\n",
    "    randown_loc = np.random.choice(X.shape[0],K, replace=False)\n",
    "    array = [X[loc] for loc in randown_loc]\n",
    "    uj = np.array(array)\n",
    "    return uj"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 362.5625 248.518125\" width=\"362.5625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 248.518125 \r\nL 362.5625 248.518125 \r\nL 362.5625 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\nL 355.3625 7.2 \r\nL 20.5625 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"PathCollection_1\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"maa1dc6e90d\" style=\"stroke:#0000ff;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"177.398818\" xlink:href=\"#maa1dc6e90d\" y=\"192.257584\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"130.700726\" xlink:href=\"#maa1dc6e90d\" y=\"147.169889\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"137.748587\" xlink:href=\"#maa1dc6e90d\" y=\"177.874539\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"142.980496\" xlink:href=\"#maa1dc6e90d\" y=\"157.594073\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"183.461725\" xlink:href=\"#maa1dc6e90d\" y=\"181.513923\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"212.610284\" xlink:href=\"#maa1dc6e90d\" y=\"116.911724\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"229.516992\" xlink:href=\"#maa1dc6e90d\" y=\"123.248224\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"142.290852\" xlink:href=\"#maa1dc6e90d\" y=\"175.555825\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"143.234822\" xlink:href=\"#maa1dc6e90d\" y=\"137.716622\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"190.144596\" xlink:href=\"#maa1dc6e90d\" y=\"129.944403\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"234.134469\" xlink:href=\"#maa1dc6e90d\" y=\"134.940844\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"167.251338\" xlink:href=\"#maa1dc6e90d\" y=\"123.783245\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"141.069042\" xlink:href=\"#maa1dc6e90d\" y=\"129.231337\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.032472\" xlink:href=\"#maa1dc6e90d\" y=\"116.827135\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"174.933032\" xlink:href=\"#maa1dc6e90d\" y=\"81.887952\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"159.537175\" xlink:href=\"#maa1dc6e90d\" y=\"171.629029\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"177.004083\" xlink:href=\"#maa1dc6e90d\" y=\"140.408873\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"237.933088\" xlink:href=\"#maa1dc6e90d\" y=\"116.353766\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"164.38658\" xlink:href=\"#maa1dc6e90d\" y=\"146.073836\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"155.009554\" xlink:href=\"#maa1dc6e90d\" y=\"166.26503\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"215.368144\" xlink:href=\"#maa1dc6e90d\" y=\"103.278474\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"83.304581\" xlink:href=\"#maa1dc6e90d\" y=\"118.118086\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"214.305646\" xlink:href=\"#maa1dc6e90d\" y=\"143.055884\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_2\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mba8e974924\" style=\"stroke:#008000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"251.144557\" xlink:href=\"#mba8e974924\" y=\"83.599778\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"210.151347\" xlink:href=\"#mba8e974924\" y=\"55.644706\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"340.144318\" xlink:href=\"#mba8e974924\" y=\"47.164436\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"253.329305\" xlink:href=\"#mba8e974924\" y=\"93.776703\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"254.116506\" xlink:href=\"#mba8e974924\" y=\"103.723085\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"241.099485\" xlink:href=\"#mba8e974924\" y=\"100.923411\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"297.220485\" xlink:href=\"#mba8e974924\" y=\"136.17247\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"322.386559\" xlink:href=\"#mba8e974924\" y=\"63.41437\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"261.338398\" xlink:href=\"#mba8e974924\" y=\"91.927947\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"288.604502\" xlink:href=\"#mba8e974924\" y=\"17.083636\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"293.262628\" xlink:href=\"#mba8e974924\" y=\"136.832712\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"327.022293\" xlink:href=\"#mba8e974924\" y=\"47.152472\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"322.650842\" xlink:href=\"#mba8e974924\" y=\"71.863379\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"276.981504\" xlink:href=\"#mba8e974924\" y=\"79.154773\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"332.531105\" xlink:href=\"#mba8e974924\" y=\"116.473294\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"338.113692\" xlink:href=\"#mba8e974924\" y=\"98.267596\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"302.844511\" xlink:href=\"#mba8e974924\" y=\"135.323742\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"267.150834\" xlink:href=\"#mba8e974924\" y=\"65.960554\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"313.702052\" xlink:href=\"#mba8e974924\" y=\"91.300259\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"244.269229\" xlink:href=\"#mba8e974924\" y=\"76.041906\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"256.385949\" xlink:href=\"#mba8e974924\" y=\"82.470741\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"289.106151\" xlink:href=\"#mba8e974924\" y=\"73.422106\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_3\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"m5425a3d64a\" style=\"stroke:#ffd700;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"123.034487\" xlink:href=\"#m5425a3d64a\" y=\"170.421775\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"131.991531\" xlink:href=\"#m5425a3d64a\" y=\"177.188835\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"75.465391\" xlink:href=\"#m5425a3d64a\" y=\"198.498027\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"150.522157\" xlink:href=\"#m5425a3d64a\" y=\"196.174642\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"35.780682\" xlink:href=\"#m5425a3d64a\" y=\"214.756364\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m1ccc7fe47e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"24.185738\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 1 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n      </defs>\r\n      <g transform=\"translate(21.004488 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"88.518742\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 2 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      </defs>\r\n      <g transform=\"translate(85.337492 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"152.851745\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 3 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(149.670495 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.184749\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 4 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(214.003499 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"281.517752\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 5 -->\r\n      <defs>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(278.336502 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"345.850756\" xlink:href=\"#m1ccc7fe47e\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 6 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      </defs>\r\n      <g transform=\"translate(342.669506 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m265c40cd46\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m265c40cd46\" y=\"209.409311\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 3 -->\r\n      <g transform=\"translate(7.2 213.20853)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m265c40cd46\" y=\"165.330236\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(7.2 169.129454)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m265c40cd46\" y=\"121.25116\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(7.2 125.050378)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m265c40cd46\" y=\"77.172084\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(7.2 80.971303)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m265c40cd46\" y=\"33.093008\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 7 -->\r\n      <defs>\r\n       <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-55\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 36.892227)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-55\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_12\">\r\n    <path clip-path=\"url(#pe1d9b0bc30)\" d=\"M 177.004083 140.408873 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <defs>\r\n     <path d=\"M -5 5 \r\nL 5 -5 \r\nM -5 -5 \r\nL 5 5 \r\n\" id=\"m394a492aed\" style=\"stroke:#ff0000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"177.004083\" xlink:href=\"#m394a492aed\" y=\"140.408873\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_13\">\r\n    <path clip-path=\"url(#pe1d9b0bc30)\" d=\"M 313.702052 91.300259 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"313.702052\" xlink:href=\"#m394a492aed\" y=\"91.300259\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_14\">\r\n    <path clip-path=\"url(#pe1d9b0bc30)\" d=\"M 75.465391 198.498027 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#pe1d9b0bc30)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"75.465391\" xlink:href=\"#m394a492aed\" y=\"198.498027\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 20.5625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 355.3625 224.64 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 20.5625 7.2 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 27.5625 59.234375 \r\nL 104.595313 59.234375 \r\nQ 106.595313 59.234375 106.595313 57.234375 \r\nL 106.595313 14.2 \r\nQ 106.595313 12.2 104.595313 12.2 \r\nL 27.5625 12.2 \r\nQ 25.5625 12.2 25.5625 14.2 \r\nL 25.5625 57.234375 \r\nQ 25.5625 59.234375 27.5625 59.234375 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"PathCollection_4\">\r\n     <g>\r\n      <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"39.5625\" xlink:href=\"#maa1dc6e90d\" y=\"21.173437\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_12\">\r\n     <!-- Cluster 0 -->\r\n     <defs>\r\n      <path d=\"M 64.40625 67.28125 \r\nL 64.40625 56.890625 \r\nQ 59.421875 61.53125 53.78125 63.8125 \r\nQ 48.140625 66.109375 41.796875 66.109375 \r\nQ 29.296875 66.109375 22.65625 58.46875 \r\nQ 16.015625 50.828125 16.015625 36.375 \r\nQ 16.015625 21.96875 22.65625 14.328125 \r\nQ 29.296875 6.6875 41.796875 6.6875 \r\nQ 48.140625 6.6875 53.78125 8.984375 \r\nQ 59.421875 11.28125 64.40625 15.921875 \r\nL 64.40625 5.609375 \r\nQ 59.234375 2.09375 53.4375 0.328125 \r\nQ 47.65625 -1.421875 41.21875 -1.421875 \r\nQ 24.65625 -1.421875 15.125 8.703125 \r\nQ 5.609375 18.84375 5.609375 36.375 \r\nQ 5.609375 53.953125 15.125 64.078125 \r\nQ 24.65625 74.21875 41.21875 74.21875 \r\nQ 47.75 74.21875 53.53125 72.484375 \r\nQ 59.328125 70.75 64.40625 67.28125 \r\nz\r\n\" id=\"DejaVuSans-67\"/>\r\n      <path d=\"M 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\n\" id=\"DejaVuSans-108\"/>\r\n      <path d=\"M 8.5 21.578125 \r\nL 8.5 54.6875 \r\nL 17.484375 54.6875 \r\nL 17.484375 21.921875 \r\nQ 17.484375 14.15625 20.5 10.265625 \r\nQ 23.53125 6.390625 29.59375 6.390625 \r\nQ 36.859375 6.390625 41.078125 11.03125 \r\nQ 45.3125 15.671875 45.3125 23.6875 \r\nL 45.3125 54.6875 \r\nL 54.296875 54.6875 \r\nL 54.296875 0 \r\nL 45.3125 0 \r\nL 45.3125 8.40625 \r\nQ 42.046875 3.421875 37.71875 1 \r\nQ 33.40625 -1.421875 27.6875 -1.421875 \r\nQ 18.265625 -1.421875 13.375 4.4375 \r\nQ 8.5 10.296875 8.5 21.578125 \r\nz\r\nM 31.109375 56 \r\nz\r\n\" id=\"DejaVuSans-117\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-115\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-116\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-101\"/>\r\n      <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-114\"/>\r\n      <path id=\"DejaVuSans-32\"/>\r\n      <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n     </defs>\r\n     <g transform=\"translate(57.5625 23.798437)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-48\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_5\">\r\n     <g>\r\n      <use style=\"fill:#008000;stroke:#008000;\" x=\"39.5625\" xlink:href=\"#mba8e974924\" y=\"35.851562\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_13\">\r\n     <!-- Cluster 1 -->\r\n     <g transform=\"translate(57.5625 38.476562)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-49\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_6\">\r\n     <g>\r\n      <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"39.5625\" xlink:href=\"#m5425a3d64a\" y=\"50.529687\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_14\">\r\n     <!-- Cluster 2 -->\r\n     <g transform=\"translate(57.5625 53.154687)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-50\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"pe1d9b0bc30\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"20.5625\" y=\"7.2\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAD4CAYAAADFAawfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAbF0lEQVR4nO3de2xc9ZUH8O9xYupMNhhITAtrPGMaldI8SInDK2qJSaDlUXbbqi6r6XahQt6EbdLsqqraWCyCalKEUAmoFZKbhFdm25p0EWoL7RaY0KXiYYfmRRJKIbbjQIpxFQfWQJ347B93xontufO8j9+99/uRrMncGY9/YyUnvzm/8zs/UVUQEZG5avweABERFcZATURkOAZqIiLDMVATERmOgZqIyHDT3XjROXPmaCKRcOOliYhCafv27e+oakO+x1wJ1IlEAj09PW68NBFRKIlIn91jTH0QERmOgZqIyHAM1EREhnMlR53P6OgoBgYG8MEHH3j1I0Olrq4OjY2NqK2t9XsoROQxzwL1wMAAZs2ahUQiARHx6seGgqpiaGgIAwMDaG5u9ns4ROQxz1IfH3zwAWbPns0gXQERwezZs/lphEIlvTuNxIYEam6vQWJDAundab+HZCzPZtQAGKSrwN8dhUl6dxrtv2zHyOgIAKBvuA/tv2wHACQXJP0cmpG4mEhEnut4umM8SOeMjI6g4+kOn0ZktkgF6sOHD+OGG27Axz/+cXzqU5/CNddcgz/96U/o7e3F/PnzK3rNBx98EG+++WZV41JVrFmzBnPnzsXChQvx8ssvV/V6RKbrH+4v63rURSZQqyq++MUvYtmyZXj99dexd+9erF+/Hn/5y1+qet1KAvWxY8cm3H/yySfx2muv4bXXXkNnZydWrVpV1ZiITNdU31TW9agzNlCn00AiAdTUWLfpKtcZMpkMamtrsXLlyvFrixYtwmc+85kJz3vwwQfxzW9+c/z+ddddh23btuH48eO48cYbMX/+fCxYsAD33HMPtm7dip6eHiSTSSxatAjvv/8+tm/fjssvvxyLFy/G5z73Obz11lsAgGXLlmHdunW4/PLLce+99074mY8//ji+/vWvQ0RwySWX4MiRI+PfRxRGqeUpxGpjE67FamNILU/5NCKzebqYWKp0GmhvB0ayKay+Pus+ACQrXGfYs2cPFi9eXPGYduzYgUOHDmHPnj0AgCNHjuC0007Dj370I9x9991oaWnB6OgoVq9ejccffxwNDQ34+c9/jo6ODmzevHn8e5599tkpr33o0CGcc8454/cbGxtx6NAhnHXWWRWPl8hkuQXDjqc70D/cj6b6JqSWp7iQaMPIQN3RcSJI54yMWNcrDdTVOvfcc/HGG29g9erVuPbaa3HVVVdNec6rr76KPXv24MorrwQAHD9+fEKw/epXv5r3tfOdW8kqDwq75IIkA3OJjAzU/TbrCXbXSzFv3jxs3bq16POmT5+OsbGx8fu52uXTTz8dO3fuxG9/+1v8+Mc/RldX1/hMOUdVMW/ePDz//PN5X3vmzJl5rzc2NuLgwYPj9wcGBnD22WcXHSsRRYOROeomm/UEu+uluOKKK/Dhhx/iJz/5yfi17u7uKamIRCKBHTt2YGxsDAcPHsRLL70EAHjnnXcwNjaGL3/5y/j+978/Xpkxa9YsvPvuuwCA8847D4ODg+OBenR0FK+88krRsV1//fV4+OGHoap44YUXUF9fz7QHEY0zckadSk3MUQNALGZdr5SI4LHHHsPatWtx5513oq6uDolEAhs2bJjwvKVLl6K5uRkLFizA/PnzceGFFwKw8sg33XTT+Gz7Bz/4AQDgxhtvxMqVKzFjxgw8//zz2Lp1K9asWYPh4WEcO3YMa9euxbx58wqO7ZprrsETTzyBuXPnIhaL4YEHHqj8jRJR6Ei+/Gi1WlpadPLBAfv27cP5559f8muk01ZOur/fmkmnUv7lp01R7u+QiIJDRLaraku+x4ycUQNWUI56YCYiAgzNURMR0QkM1EREhmOgJiIyXNFALSLniciOk76OishaLwZHREQlLCaq6qsAFgGAiEwDcAjAYy6Pi4iIsspNfSwH8Lqq9rkxGLeZ2uZ0//79uPTSS/GRj3wEd999d1WvRUThU26gvgHAT/M9ICLtItIjIj2Dg4PVj8xhJrc5PeOMM3Dffffh29/+dlVjIaJwKjlQi8gpAK4H8Gi+x1W1U1VbVLWloaGh6oE5fZ6ayW1OzzzzTCxZsoQnjBNRXuVseLkawMuqWt0UtARunKdmcptTIqJCygnU/wSbtIfTCp2n5ldbRDfbnBIRFVJSoBaRGIArAfyru8OxuHGemsltTomICikpR62qI6o6W1WH3R4Q4M55aia3OSUiKsTIpkyp5akJOWqg+vPUTG5zevjwYbS0tODo0aOoqanBhg0bsHfvXpx66qkVv18iCg9z25zuTvM8tUnY5pQovILZ5pTnqRERAWBTJiIi4zFQExEZjoGaiOgkleyKdnon9WTG5qiJiLxWya5oN3ZST8YZNRFRVqFd0U5+T7kiFahNbXOaTqexcOFCLFy4EJdddhl27txZ1esRUWUq2RXtxk7qySITqE1uc9rc3Ixnn30Wu3btwq233or29vaqxkRElalkV7QbO6knMzdQD6eBPyeA/TXW7XB425xedtllOP300wEAl1xyCQYGBqp6r0RUmdTyFGK1sQnXiu2KruR7ymXmYuJwGjjcDmg273Osz7oPAPXhbnO6adMmXH311RWPk4gql1v8K2dXdCXfUy4zA/Vgx4kgnaMj1vUKA3W1vGhzmslksGnTJjz33HPODp6ISlbJrmi3d1KbGaiP2STh7a6XwPQ2p7t27cLNN9+MJ598ErNnzy7lLRFRRJiZo55uk4S3u14Ck9uc9vf340tf+hIeeeQRfOITn6j4PZL33N7oQASYOqNuSE3MUQOAxKzrFTK5zekdd9yBoaEh3HLLLQCsWf3k7oNkHi82OhABBrc5xXDaykkf67dm0g0p3/LTpmCbU7MkNiTQN9w35Xq8Po7etb3eD4gCLZBtTlGfjHxgJrN5sdGBCDA1R00UAF5sdCACPA7UbqRZooK/O/N4sdGBCPAwUNfV1WFoaIgBpwKqiqGhIdTV1fk9FDpJckESnV/oRLw+DoEgXh9H5xc6uZBIjvNsMXF0dBQDAwPjdclUnrq6OjQ2NqK2ttbvoRCRC4xYTKytrUVzc7NXP46IqKigHKJtbtUHEZGLglQHz6oPIioorLsvvWj47xTOqInIVpBmneUKUh08Z9REZCtIs85yBakOnoGaiGwFadZZriDVwTNQE5GtIM06yxWkOnjmqInIVmp5akKOGjB31lkJtxv+O4UzaiKyFaRZZ6WCUNXi2c5EIiLTTK5qAaxPDH78Z1RoZyJn1ETkCxNmskGpamGOmog8Z0p9dlCqWjijJgoBE2an5TBlJhuUqpaSArWInCYiW0Vkv4jsE5FL3R4YEZUmNzvtG+6DQsdnpyYHa1NmskGppS51Rn0vgN+o6icBXABgn3tDIqJymDI7LYcpM9mgVLUUDdQiciqAzwLYBACq+jdVPeL2wIioNKbMTstJv5g0k00uSKJ3bS/GbhtD79pe44I0UNqM+lwAgwAeEJE/ishGEZk5+Uki0i4iPSLSMzg46PhAiSg/E2an5aZfgjKTNUXROmoRaQHwAoClqvqiiNwL4Kiq3mr3PayjJvKOCbXAiQ0J9A33Tbker4+jd22vJ2MIumrrqAcADKjqi9n7WwFc6NTgiMqVTgOJBFBTY92mzV0z84QJs1NT0i9hVbSOWlUPi8hBETlPVV8FsBzAXveHRjRVOg20twMj2cljX591HwCSEf7UXG7PCqePoGqqb8o7ozatzC2oSq36WA0gLSK7ACwCsN69IRHZ6+g4EaRzRkas65Tf5EW+W359i+PlfCYtDoYRe31QoNTUAPn+yooAY2Pej8d0+fLXAoFi6i+x2nxyUA6KNZURp5ATOaGpyUp35LtOU+Wrsc4XpIHq88lBaRkaRNxCToGSSgGxiZ+wEYtZ12mqcoIv88nmYqCmQEkmgc5OIB630h3xuHU/yguJhdgFX4FMuM98stkYqClwkkmgt9fKSff2MkgXYrfIt7JlZXg3m9x1F5DJFH5OJmM9LyCYoyYKsVzwjdQi35IlQFsb0NUFtLZOfTyTOfF4QLDqg4jCJxuMn7qzHTe/mx7/T2rjrCRWfLfTPoj7iCe8EFFRQetpXVBrK566sx0XrFmP5h1WvXjzjj5csGY9nrqz3bggXQxTH0RkzIkrTrr53TSavwJ0PQrc3wKs6gHavgIceDeNXgRr4ZQzaqKIKDRjDmJP62L6h/uxrdkK0v/5e+t2W3Mw+49wRk0UAcVmzGFsqtRU34TmHX1Y1QPc8VlrRp1pBg4sCl69OGfURBFQbMZsQk9rp22clUTXo1a647YrrNuuR63rQcNATRQBxWbMoWuqlMlgxXc7sfO+dTiwyKoXP7Aojp33rbOqPorVWRuGqQ+iCCjWhjRU9dYn1UmvaG2dunB47orCddZl8KoRFQM1UQSklqfyngJz8ow5NE2VursLB+HWVuvx7u6qArWXlTLc8EIUEWxD6iynjx9jm1OiECo38IZmxmwILytluJhIFEDlnvpNzvOyUoaBmshhXhy+G8YNKkHjZaUMAzWRg3KH7/b1WUeG5Q7fdTpYV/qxO1T9PHzm5envXEwkclAikf+osHjc6p3t2M+pYCEr3/mJsdpYuHpRBxi75xF5pN9mQmt3vVKVfOxmuiS4GKiJHGR3yK7Th+9W8rE7jP08ooLleUQOSqWsnPTISRNXtw7fLbfcrtjuRDIXZ9REDjL58N3Q9fOIEM6oiRyWTJoRmCcLVT+PiGHVBxGRAVj1QUQUYAzURESGY6AmIjIcAzURkeEYqImIDMdATVSFkzvlzZljfbnZNc+LznyUn58NrRioHcB/PNE0uVPe0JD15VbXPK8689FUfvf/Zh11lXL/eCZvGTZlNxq5x65T3smc7JrnVWc+msrpY7fyYR21izo6JgZpwLrfwYZkoVdKRzwnu+Z51ZmPpvK7oVVJgVpEekVkt4jsEJFoTJVLxH880VVKRzwnu+Z51ZmPpvLy2K18yplRt6rqIrupeVTxH090pVJWmsuO013z8v08tzrz0UR+N7Ri6qNK/McTXZM75c2ebX1V0zWv0MK0yZ35ws7LY7fyUtWiXwAOAHgZwHYA7TbPaQfQA6CnqalJo2TLFtV4XFXEut2yxe8RBVtUf59btqjGYqpWTYf1FYtF5/1HHYAetYnBJVV9iMjZqvqmiJwJ4HcAVqvq7+2eH6WqD3JWlKtoWNURbVVXfajqm9nbtwE8BuAi54ZHdEKUq2i4ME12igZqEZkpIrNyfwZwFYA9bg+MoinKwYoL02SnlBn1RwE8JyI7AbwE4Neq+ht3h0VRFeVgxYVpslM0UKvqG6p6QfZrnqryr01EebFVPsrBilUdZIfleVQSr/pMuB2sTO/LkkxaC4djY9YtgzQB7PVBJQpDRUKUK0rIfOz1QVULwyJflCtKKNgYqKkkYVjkC8N/NhRNDNRUkjAs8oXhPxuKJgZqKkkYKhKC+J+N6YuffvDzpBW/cDGRIiWdtnLS/f3WTDqVMvc/m6gvfqZ3p9HxdAf6h/vRVN803qmu/ZftGBk98UuJ1ca8bZDkkkKLiQzURIYKQ6VNOU4OzGfMOANHPzyK0bHR8cdjtTHMmD4DQ+8PTfleJ09a8QurPshR/DjujSgtfk4+k3Do/aEJQRoARkZH8gZpwLuTVvzCQE1l8f2A1bvuAjKZws/JZKznBVyUFj87nu6YkM4ol1cnrfiFgZrK4nst8pIlQFubfbDOZKzHlyzxaEDuCeLiZ6VKnRHPnjHb15NW/MJATWXx/eN4ayvQ1QW0teGpjsyEFMxTHdkg3dVlPS/gwlBpU6pSZsSx2hjuvfpef09a8QkXE6kspixwPdWRwQXr29CGLmxDK5Yhgy60Yee6LqxIBT9IR00uR31y+uOUaadg1imz8Nf3/zpe9RHmgMzFRHKMKR/Hb063og1d6EIbbsd/ogtW0L457W+Q5kJrZfKdSbj5Hzbjne+8g7HbxtC7tjfUQboouzO6qvlavHixCyeKkSlMONNQxDpT8Hbcqgro7bhVAeu6X3jmIVUD1Z6ZWC6mPshtiQTQ3GelO+7HKqzC/WhDFw7EW32rMTYlLUTBxNQHGa/clMHGZGY83XEb7hhPg2xMFindc5HvC60UWgzU5Hteteza7EwGKzqthcMD8VaIAAfirdZCYmeB0j2XRanumTxmlxOp5os56uAwIa8aj0/8+bmveDzPk595RnXOHOs2n2KPu8iE3yUFFwrkqDmjjjjfN7CgzJRBd3fhOulcnXV3t2PjK1WU6p7JW1xMjLiaGmvuN5mIdW6fF7gIR8TFRCrAhLyqKbXZRKZioI44E4IkUwZEhU33ewDkr1ww9LuZfjLJwExkh4GaGCSJDMfUBxGR4RioiYgMx0BNRGQ4Bmoqm99bzomihouJVJZcX47cbsZcXw6AC5JEbuGMmspiwpZzoqhhoKaysJUnkfcYqKksJmw5J4oaBmoqiwlbzomihoGaysK+HETeK7nqQ0SmAegBcEhVr3NvSGQ6bjkn8lY5M+pvAdjn1kAovFh3TVSdkgK1iDQCuBbARneHQ2FT9nmIRDRFqTPqDQC+A8D2zA8RaReRHhHpGRwcdGRwFHysuyaqXtFALSLXAXhbVbcXep6qdqpqi6q2NDQ0ODZACjbWXRNVr5QZ9VIA14tIL4CfAbhCRLa4OioKDdZdE1WvaKBW1e+paqOqJgDcAOAZVf2a6yMj5wyngT8ngP011u2wdwli1l0TVY911GE3nAYOtwPH+gCodXu43bNgbVd3DbAShKhUoqqOv2hLS4v29PQ4/rpUgT8nskF6kulxYG6v16MBMLUDH2DNsrlxhqJMRLaraku+xzijDrtjNqt2dtc9wEoQovIwUIfddJtVO7vrHmAlCFF5GKjDriEFyKTVPIlZ1yvgxC5DVoIQlYeBOuzqk8DHOq2cNMS6/Vindf1kJVSGOLXLkJUgROXhYiKdqAzRkxLHEgM+1on0r5Lo6LDSEjU1wPHjU789Hgd6e8v7kek0xl+3qckK0lxIpCgrtJjIQE22lSHvfRjHRy/rnbLwN5kIMGbbXICISsGqDyrMpgIkVttfNEgDzC0TuY2BmmwrQPrfKh6BmVsmch8DNdlWhvzwkfwReNo0s093Yf9rChsGarKtDLn4ymTe6oyHHrJy0r29ZgZp9r+msOFiIhUUtOqMRMIKzpNVUplC5CVWfVBk1NRYM+nJWJlCpmPVB0UGdz1SGDFQU6hw1yOFEQM1hYpd/2uT8+pExUz3ewBETksmGZgpXDijJiIyHAM1EZHhGKgpsLgDkaKCOWoKpMnnLuZ2IALMT1P4cEZNgcRzFylKGKgpkHjuIkUJAzU5r4RjvarFHYgUJQzUdu66C8hkCj8nk7GeRyfkjvU61gdArdvD7Y4Ha+5ApChhoLazZAnQ1mYfrDMZ6/ElS7wdl+kGOyaevQhY9wedTR5zByJFCbvnFZILxpvbgfPT1pFV05uAfUngG51AVxfQ2ur3KM2yvwZAvr9TAnyS7euI7LB7XqVaW60g/S/rgT9kP8r/oc+6v7mdQTofm2O9bK8TUVEM1MWcnwbuAfDvAO7L3t6TvU5T2RzrhQYmj4kqxUBdzLF+4GIANwC4P3t7MWxP7o48m2O9UM/kMVGluDOxmOlNVrrjZwBWwbq9GMBSfpS3VZ9kYCZyEGfUxexLnkh3rMGJNMg+BiIi8gYDdSGZjFXd8dA6YGn2o/zSuHX/G53F66yJiBzA1IedXGneeAneSYthcwF0rZj0OBGROzijttPdXTgIt7Zaj3d3ezsuIoocbnghIjJAVRteRKRORF4SkZ0i8oqI3O78EImIyE4pOeoPAVyhqu+JSC2A50TkSVV9weWxERERSgjUauVG3sverc1+OZ8vISKivEpaTBSRaSKyA8DbAH6nqi+6OywiIsopKVCr6nFVXQSgEcBFIjJ/8nNEpF1EekSkZ3Bw0OlxEhFFVlnleap6BMA2AJ/P81inqraoaktDQ4NDwyMiolKqPhpE5LTsn2cAWAFgv+Mj8eD4JiKiICql6uMsAA+JyDRYgb1LVX/l6ChyxzflTgbJHd8EsLkPEUVeKVUfuwB82tVRFDq+iYGaiCLOjC3kdr2d2fOZiMiQQM3jm4iIbJkRqHl8ExGRLTMCNY9vIiKyZU4/ah7fRESUlxkzaiIissVATURkOAZqIiLDMVATERmOgZqIyHCunJkoIoMA+rJ35wB4x/EfEixR/x3w/Uf7/QP8HZTy/uOqmrf1qCuBesIPEOmxO7AxKqL+O+D7j/b7B/g7qPb9M/VBRGQ4BmoiIsN5Eag7PfgZpov674Dvn6L+O6jq/bueoyYiouow9UFEZDgGaiIiw7kWqEVks4i8LSJ73PoZJhORc0QkIyL7ROQVEfmW32PykojUichLIrIz+/5v93tMfhCRaSLyRxFx9pzRgBCRXhHZLSI7RKTH7/F4TUROE5GtIrI/Gwsureh13MpRi8hnAbwH4GFVne/KDzGYiJwF4CxVfVlEZgHYDuAfVXWvz0PzhIgIgJmq+p6I1AJ4DsC3VPUFn4fmKRH5DwAtAE5V1ev8Ho/XRKQXQIuqRnKzi4g8BOB/VXWjiJwCIKaqR8p9Hddm1Kr6ewB/dev1Taeqb6nqy9k/vwtgH4C/93dU3lHLe9m7tdmvSK1ci0gjgGsBbPR7LOQ9ETkVwGcBbAIAVf1bJUEaYI7aEyKSgHWS+4v+jsRb2Y/9OwC8DeB3qhqp9w9gA4DvABjzeyA+UgD/IyLbRaTd78F47FwAgwAeyKa/NorIzEpeiIHaZSLydwB+AWCtqh71ezxeUtXjqroIQCOAi0QkMikwEbkOwNuqut3vsfhsqapeCOBqAP+WTYlGxXQAFwK4X1U/DeD/AHy3khdioHZRNjf7CwBpVf1vv8fjl+zHvW0APu/zULy0FMD12RztzwBcISJb/B2S91T1zezt2wAeA3CRvyPy1ACAgZM+SW6FFbjLxkDtkuxi2iYA+1T1h36Px2si0iAip2X/PAPACgD7/R2Vd1T1e6raqKoJADcAeEZVv+bzsDwlIjOzC+nIfuS/CkBkqsBU9TCAgyJyXvbScgAVFRO4dritiPwUwDIAc0RkAMBtqrrJrZ9noKUA/hnA7myeFgDWqeoTPo7JS2cBeEhEpsGaEHSpaiRL1CLsowAes+YsmA7gv1T1N/4OyXOrAaSzFR9vALipkhfhFnIiIsMx9UFEZDgGaiIiwzFQExEZjoGaiMhwDNRERIZjoCYiMhwDNRGR4f4fIIZjVXcOjlkAAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "K=3\n",
    "centres=[]\n",
    "centres.append(init_clutisd(K, X))\n",
    "centr_classfi = find_closest_centroids(X, centres[0])\n",
    "plotData(X, centres, centr_classfi,loc=2)\n",
    "# centres\n",
    "# for centre in centres:\n",
    "#     print(centre)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "def computeMeans(X, centr_classfi, K):\n",
    "    # K 分类数\n",
    "    u = []\n",
    "    df = pd.DataFrame(X)\n",
    "    assert len(centr_classfi) == X.shape[0], 'centr_:{}, X : {}'.format(len(centr_classfi),X.shape[0])\n",
    "    df.insert(df.shape[1],'class',centr_classfi)\n",
    "    for k in range(K):\n",
    "        u.append(df[df['class'] == k].mean(0).values) #每列求均值\n",
    "    # print(u)\n",
    "    return np.array(u)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "[array([[3.37542687, 4.56537852],\n        [5.50027665, 5.67948113],\n        [1.79709714, 3.24753885]])]"
     },
     "metadata": {},
     "execution_count": 115
    }
   ],
   "source": [
    "centres"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def K_means(X, K):\n",
    "    centres=[]\n",
    "    centres.append(init_clutisd(K, X))\n",
    "    centr_classfi = find_closest_centroids(X, centres[0])\n",
    "    # plotData(X, centres, centr_classfi,loc=loc)\n",
    "\n",
    "    for i in range(3):\n",
    "        centres.append(computeMeans(X, centr_classfi, K)[:,:X.shape[1]])\n",
    "        centr_classfi = find_closest_centroids(X, centres[i+1])\n",
    "\n",
    "    return centr_classfi,centres\n",
    "    # plotData(X, centres,centr_classfi,loc=loc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 362.5625 248.518125\" width=\"362.5625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 248.518125 \r\nL 362.5625 248.518125 \r\nL 362.5625 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\nL 355.3625 7.2 \r\nL 20.5625 7.2 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"PathCollection_1\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mc8ded8de55\" style=\"stroke:#0000ff;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"251.144557\" xlink:href=\"#mc8ded8de55\" y=\"83.599778\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.151347\" xlink:href=\"#mc8ded8de55\" y=\"55.644706\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"340.144318\" xlink:href=\"#mc8ded8de55\" y=\"47.164436\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"253.329305\" xlink:href=\"#mc8ded8de55\" y=\"93.776703\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"241.099485\" xlink:href=\"#mc8ded8de55\" y=\"100.923411\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"322.386559\" xlink:href=\"#mc8ded8de55\" y=\"63.41437\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"261.338398\" xlink:href=\"#mc8ded8de55\" y=\"91.927947\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.604502\" xlink:href=\"#mc8ded8de55\" y=\"17.083636\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"327.022293\" xlink:href=\"#mc8ded8de55\" y=\"47.152472\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"322.650842\" xlink:href=\"#mc8ded8de55\" y=\"71.863379\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"276.981504\" xlink:href=\"#mc8ded8de55\" y=\"79.154773\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"174.933032\" xlink:href=\"#mc8ded8de55\" y=\"81.887952\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"267.150834\" xlink:href=\"#mc8ded8de55\" y=\"65.960554\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"244.269229\" xlink:href=\"#mc8ded8de55\" y=\"76.041906\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"256.385949\" xlink:href=\"#mc8ded8de55\" y=\"82.470741\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"215.368144\" xlink:href=\"#mc8ded8de55\" y=\"103.278474\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"289.106151\" xlink:href=\"#mc8ded8de55\" y=\"73.422106\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_2\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"m68073029e5\" style=\"stroke:#008000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"212.610284\" xlink:href=\"#m68073029e5\" y=\"116.911724\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"254.116506\" xlink:href=\"#m68073029e5\" y=\"103.723085\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"229.516992\" xlink:href=\"#m68073029e5\" y=\"123.248224\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"297.220485\" xlink:href=\"#m68073029e5\" y=\"136.17247\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"293.262628\" xlink:href=\"#m68073029e5\" y=\"136.832712\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"234.134469\" xlink:href=\"#m68073029e5\" y=\"134.940844\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"332.531105\" xlink:href=\"#m68073029e5\" y=\"116.473294\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"210.032472\" xlink:href=\"#m68073029e5\" y=\"116.827135\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"338.113692\" xlink:href=\"#m68073029e5\" y=\"98.267596\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"302.844511\" xlink:href=\"#m68073029e5\" y=\"135.323742\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"313.702052\" xlink:href=\"#m68073029e5\" y=\"91.300259\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"237.933088\" xlink:href=\"#m68073029e5\" y=\"116.353766\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_3\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"md214958b66\" style=\"stroke:#ffd700;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"177.398818\" xlink:href=\"#md214958b66\" y=\"192.257584\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"130.700726\" xlink:href=\"#md214958b66\" y=\"147.169889\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"137.748587\" xlink:href=\"#md214958b66\" y=\"177.874539\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"142.980496\" xlink:href=\"#md214958b66\" y=\"157.594073\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"183.461725\" xlink:href=\"#md214958b66\" y=\"181.513923\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"142.290852\" xlink:href=\"#md214958b66\" y=\"175.555825\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"143.234822\" xlink:href=\"#md214958b66\" y=\"137.716622\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"190.144596\" xlink:href=\"#md214958b66\" y=\"129.944403\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"123.034487\" xlink:href=\"#md214958b66\" y=\"170.421775\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"167.251338\" xlink:href=\"#md214958b66\" y=\"123.783245\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"141.069042\" xlink:href=\"#md214958b66\" y=\"129.231337\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"159.537175\" xlink:href=\"#md214958b66\" y=\"171.629029\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"177.004083\" xlink:href=\"#md214958b66\" y=\"140.408873\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"131.991531\" xlink:href=\"#md214958b66\" y=\"177.188835\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"75.465391\" xlink:href=\"#md214958b66\" y=\"198.498027\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"164.38658\" xlink:href=\"#md214958b66\" y=\"146.073836\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"155.009554\" xlink:href=\"#md214958b66\" y=\"166.26503\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"150.522157\" xlink:href=\"#md214958b66\" y=\"196.174642\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"35.780682\" xlink:href=\"#md214958b66\" y=\"214.756364\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"83.304581\" xlink:href=\"#md214958b66\" y=\"118.118086\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"214.305646\" xlink:href=\"#md214958b66\" y=\"143.055884\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"ma4c27cfe60\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"24.185738\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 1 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n      </defs>\r\n      <g transform=\"translate(21.004488 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"88.518742\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 2 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      </defs>\r\n      <g transform=\"translate(85.337492 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"152.851745\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 3 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(149.670495 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.184749\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 4 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(214.003499 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"281.517752\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 5 -->\r\n      <defs>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(278.336502 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"345.850756\" xlink:href=\"#ma4c27cfe60\" y=\"224.64\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 6 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      </defs>\r\n      <g transform=\"translate(342.669506 239.238437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_7\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m8882135cfc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m8882135cfc\" y=\"209.409311\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 3 -->\r\n      <g transform=\"translate(7.2 213.20853)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m8882135cfc\" y=\"165.330236\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(7.2 169.129454)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m8882135cfc\" y=\"121.25116\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(7.2 125.050378)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m8882135cfc\" y=\"77.172084\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(7.2 80.971303)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#m8882135cfc\" y=\"33.093008\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 7 -->\r\n      <defs>\r\n       <path d=\"M 8.203125 72.90625 \r\nL 55.078125 72.90625 \r\nL 55.078125 68.703125 \r\nL 28.609375 0 \r\nL 18.3125 0 \r\nL 43.21875 64.59375 \r\nL 8.203125 64.59375 \r\nz\r\n\" id=\"DejaVuSans-55\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 36.892227)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-55\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_12\">\r\n    <path clip-path=\"url(#p49f954e1cc)\" d=\"M 267.150834 65.960554 \r\nL 274.956305 70.116607 \r\nL 271.838231 73.917793 \r\nL 266.454609 74.360579 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <defs>\r\n     <path d=\"M -5 5 \r\nL 5 -5 \r\nM -5 -5 \r\nL 5 5 \r\n\" id=\"me9bdad2a1d\" style=\"stroke:#ff0000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"267.150834\" xlink:href=\"#me9bdad2a1d\" y=\"65.960554\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"274.956305\" xlink:href=\"#me9bdad2a1d\" y=\"70.116607\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"271.838231\" xlink:href=\"#me9bdad2a1d\" y=\"73.917793\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"266.454609\" xlink:href=\"#me9bdad2a1d\" y=\"74.360579\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_13\">\r\n    <path clip-path=\"url(#p49f954e1cc)\" d=\"M 302.844511 135.323742 \r\nL 312.794484 124.613963 \r\nL 302.229651 118.674834 \r\nL 286.584336 120.990323 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"302.844511\" xlink:href=\"#me9bdad2a1d\" y=\"135.323742\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"312.794484\" xlink:href=\"#me9bdad2a1d\" y=\"124.613963\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"302.229651\" xlink:href=\"#me9bdad2a1d\" y=\"118.674834\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"286.584336\" xlink:href=\"#me9bdad2a1d\" y=\"120.990323\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_14\">\r\n    <path clip-path=\"url(#p49f954e1cc)\" d=\"M 234.134469 134.940844 \r\nL 167.635666 148.670293 \r\nL 157.225004 152.655681 \r\nL 149.968071 157.781334 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#p49f954e1cc)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"234.134469\" xlink:href=\"#me9bdad2a1d\" y=\"134.940844\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"167.635666\" xlink:href=\"#me9bdad2a1d\" y=\"148.670293\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"157.225004\" xlink:href=\"#me9bdad2a1d\" y=\"152.655681\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"149.968071\" xlink:href=\"#me9bdad2a1d\" y=\"157.781334\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 20.5625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 355.3625 224.64 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 20.5625 224.64 \r\nL 355.3625 224.64 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 20.5625 7.2 \r\nL 355.3625 7.2 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 27.5625 59.234375 \r\nL 104.595313 59.234375 \r\nQ 106.595313 59.234375 106.595313 57.234375 \r\nL 106.595313 14.2 \r\nQ 106.595313 12.2 104.595313 12.2 \r\nL 27.5625 12.2 \r\nQ 25.5625 12.2 25.5625 14.2 \r\nL 25.5625 57.234375 \r\nQ 25.5625 59.234375 27.5625 59.234375 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"PathCollection_4\">\r\n     <g>\r\n      <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"39.5625\" xlink:href=\"#mc8ded8de55\" y=\"21.173437\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_12\">\r\n     <!-- Cluster 0 -->\r\n     <defs>\r\n      <path d=\"M 64.40625 67.28125 \r\nL 64.40625 56.890625 \r\nQ 59.421875 61.53125 53.78125 63.8125 \r\nQ 48.140625 66.109375 41.796875 66.109375 \r\nQ 29.296875 66.109375 22.65625 58.46875 \r\nQ 16.015625 50.828125 16.015625 36.375 \r\nQ 16.015625 21.96875 22.65625 14.328125 \r\nQ 29.296875 6.6875 41.796875 6.6875 \r\nQ 48.140625 6.6875 53.78125 8.984375 \r\nQ 59.421875 11.28125 64.40625 15.921875 \r\nL 64.40625 5.609375 \r\nQ 59.234375 2.09375 53.4375 0.328125 \r\nQ 47.65625 -1.421875 41.21875 -1.421875 \r\nQ 24.65625 -1.421875 15.125 8.703125 \r\nQ 5.609375 18.84375 5.609375 36.375 \r\nQ 5.609375 53.953125 15.125 64.078125 \r\nQ 24.65625 74.21875 41.21875 74.21875 \r\nQ 47.75 74.21875 53.53125 72.484375 \r\nQ 59.328125 70.75 64.40625 67.28125 \r\nz\r\n\" id=\"DejaVuSans-67\"/>\r\n      <path d=\"M 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\n\" id=\"DejaVuSans-108\"/>\r\n      <path d=\"M 8.5 21.578125 \r\nL 8.5 54.6875 \r\nL 17.484375 54.6875 \r\nL 17.484375 21.921875 \r\nQ 17.484375 14.15625 20.5 10.265625 \r\nQ 23.53125 6.390625 29.59375 6.390625 \r\nQ 36.859375 6.390625 41.078125 11.03125 \r\nQ 45.3125 15.671875 45.3125 23.6875 \r\nL 45.3125 54.6875 \r\nL 54.296875 54.6875 \r\nL 54.296875 0 \r\nL 45.3125 0 \r\nL 45.3125 8.40625 \r\nQ 42.046875 3.421875 37.71875 1 \r\nQ 33.40625 -1.421875 27.6875 -1.421875 \r\nQ 18.265625 -1.421875 13.375 4.4375 \r\nQ 8.5 10.296875 8.5 21.578125 \r\nz\r\nM 31.109375 56 \r\nz\r\n\" id=\"DejaVuSans-117\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-115\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-116\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-101\"/>\r\n      <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-114\"/>\r\n      <path id=\"DejaVuSans-32\"/>\r\n      <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n     </defs>\r\n     <g transform=\"translate(57.5625 23.798437)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-48\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_5\">\r\n     <g>\r\n      <use style=\"fill:#008000;stroke:#008000;\" x=\"39.5625\" xlink:href=\"#m68073029e5\" y=\"35.851562\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_13\">\r\n     <!-- Cluster 1 -->\r\n     <g transform=\"translate(57.5625 38.476562)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-49\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_6\">\r\n     <g>\r\n      <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"39.5625\" xlink:href=\"#md214958b66\" y=\"50.529687\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_14\">\r\n     <!-- Cluster 2 -->\r\n     <g transform=\"translate(57.5625 53.154687)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-50\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p49f954e1cc\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"20.5625\" y=\"7.2\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# plotData(X, centres, centr_classfi,loc=2)\n",
    "centr_classfi,centres = K_means(X,3)\n",
    "plotData(X, centres,centr_classfi,loc=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据集 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "mat2 = loadmat(\"./ex7_data/ex7data2.mat\")\n",
    "X2 = mat2['X']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"250.07712pt\" version=\"1.1\" viewBox=\"0 0 362.5625 250.07712\" width=\"362.5625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 250.07712 \r\nL 362.5625 250.07712 \r\nL 362.5625 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 20.5625 226.198995 \r\nL 355.3625 226.198995 \r\nL 355.3625 8.758995 \r\nL 20.5625 8.758995 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"PathCollection_1\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"m335aa75aad\" style=\"stroke:#0000ff;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"248.465696\" xlink:href=\"#m335aa75aad\" y=\"53.522292\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"273.467348\" xlink:href=\"#m335aa75aad\" y=\"106.997336\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"189.331967\" xlink:href=\"#m335aa75aad\" y=\"182.478775\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"191.655634\" xlink:href=\"#m335aa75aad\" y=\"192.708919\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"183.44876\" xlink:href=\"#m335aa75aad\" y=\"195.54213\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"214.78667\" xlink:href=\"#m335aa75aad\" y=\"201.622979\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"193.698636\" xlink:href=\"#m335aa75aad\" y=\"179.392283\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"204.260298\" xlink:href=\"#m335aa75aad\" y=\"204.458877\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"173.035298\" xlink:href=\"#m335aa75aad\" y=\"184.004575\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"197.932574\" xlink:href=\"#m335aa75aad\" y=\"191.48868\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"190.654708\" xlink:href=\"#m335aa75aad\" y=\"204.724332\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"175.595793\" xlink:href=\"#m335aa75aad\" y=\"183.864437\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"170.140911\" xlink:href=\"#m335aa75aad\" y=\"183.371449\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"170.628707\" xlink:href=\"#m335aa75aad\" y=\"184.613456\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"187.110983\" xlink:href=\"#m335aa75aad\" y=\"194.101878\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"176.049872\" xlink:href=\"#m335aa75aad\" y=\"165.902697\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"195.360893\" xlink:href=\"#m335aa75aad\" y=\"207.53632\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"181.06131\" xlink:href=\"#m335aa75aad\" y=\"172.070765\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"194.806778\" xlink:href=\"#m335aa75aad\" y=\"216.315358\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"185.686585\" xlink:href=\"#m335aa75aad\" y=\"187.739031\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"170.940368\" xlink:href=\"#m335aa75aad\" y=\"197.429632\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"186.41429\" xlink:href=\"#m335aa75aad\" y=\"171.80145\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"185.186041\" xlink:href=\"#m335aa75aad\" y=\"178.330028\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"202.141588\" xlink:href=\"#m335aa75aad\" y=\"187.140778\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"194.445175\" xlink:href=\"#m335aa75aad\" y=\"201.737576\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"185.313751\" xlink:href=\"#m335aa75aad\" y=\"182.299947\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"198.723188\" xlink:href=\"#m335aa75aad\" y=\"181.790265\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"178.397728\" xlink:href=\"#m335aa75aad\" y=\"207.374381\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"172.146026\" xlink:href=\"#m335aa75aad\" y=\"192.976171\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"177.31011\" xlink:href=\"#m335aa75aad\" y=\"180.082002\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"186.609949\" xlink:href=\"#m335aa75aad\" y=\"194.347038\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"199.691583\" xlink:href=\"#m335aa75aad\" y=\"184.372644\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"175.097516\" xlink:href=\"#m335aa75aad\" y=\"178.023512\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"235.273513\" xlink:href=\"#m335aa75aad\" y=\"210.542223\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"260.947944\" xlink:href=\"#m335aa75aad\" y=\"126.9476\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"262.817631\" xlink:href=\"#m335aa75aad\" y=\"119.085935\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.509814\" xlink:href=\"#m335aa75aad\" y=\"109.716615\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"247.80872\" xlink:href=\"#m335aa75aad\" y=\"128.151991\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"247.553199\" xlink:href=\"#m335aa75aad\" y=\"117.657236\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"267.049473\" xlink:href=\"#m335aa75aad\" y=\"107.018229\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"305.687575\" xlink:href=\"#m335aa75aad\" y=\"118.410196\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"245.693376\" xlink:href=\"#m335aa75aad\" y=\"105.429371\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"237.807052\" xlink:href=\"#m335aa75aad\" y=\"112.101461\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"214.211591\" xlink:href=\"#m335aa75aad\" y=\"124.847484\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"312.243273\" xlink:href=\"#m335aa75aad\" y=\"100.762918\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.860516\" xlink:href=\"#m335aa75aad\" y=\"115.178074\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"274.265589\" xlink:href=\"#m335aa75aad\" y=\"132.805372\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"307.159414\" xlink:href=\"#m335aa75aad\" y=\"126.098683\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"268.076951\" xlink:href=\"#m335aa75aad\" y=\"128.693826\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"238.694721\" xlink:href=\"#m335aa75aad\" y=\"143.264216\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"248.780098\" xlink:href=\"#m335aa75aad\" y=\"118.551778\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"282.273553\" xlink:href=\"#m335aa75aad\" y=\"114.794089\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"324.048325\" xlink:href=\"#m335aa75aad\" y=\"111.774301\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.556279\" xlink:href=\"#m335aa75aad\" y=\"112.059651\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"252.348053\" xlink:href=\"#m335aa75aad\" y=\"112.246561\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"260.557649\" xlink:href=\"#m335aa75aad\" y=\"125.911596\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"274.408523\" xlink:href=\"#m335aa75aad\" y=\"129.697999\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"251.411846\" xlink:href=\"#m335aa75aad\" y=\"113.621575\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.924851\" xlink:href=\"#m335aa75aad\" y=\"124.631387\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"236.820651\" xlink:href=\"#m335aa75aad\" y=\"115.91159\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"238.175185\" xlink:href=\"#m335aa75aad\" y=\"123.793686\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"226.040754\" xlink:href=\"#m335aa75aad\" y=\"119.966259\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"243.800505\" xlink:href=\"#m335aa75aad\" y=\"105.368706\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"262.598066\" xlink:href=\"#m335aa75aad\" y=\"124.14172\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"229.49552\" xlink:href=\"#m335aa75aad\" y=\"145.718131\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"251.141189\" xlink:href=\"#m335aa75aad\" y=\"121.648689\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"288.905363\" xlink:href=\"#m335aa75aad\" y=\"115.292129\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"276.917365\" xlink:href=\"#m335aa75aad\" y=\"104.795495\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"275.154641\" xlink:href=\"#m335aa75aad\" y=\"120.933325\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"255.746341\" xlink:href=\"#m335aa75aad\" y=\"117.45356\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"276.892411\" xlink:href=\"#m335aa75aad\" y=\"111.435373\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"237.964146\" xlink:href=\"#m335aa75aad\" y=\"110.39302\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"256.707376\" xlink:href=\"#m335aa75aad\" y=\"105.037749\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"187.33166\" xlink:href=\"#m335aa75aad\" y=\"127.216595\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"271.010507\" xlink:href=\"#m335aa75aad\" y=\"111.152002\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"196.129961\" xlink:href=\"#m335aa75aad\" y=\"123.806941\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"236.489785\" xlink:href=\"#m335aa75aad\" y=\"116.12939\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"302.964183\" xlink:href=\"#m335aa75aad\" y=\"102.694902\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"314.621201\" xlink:href=\"#m335aa75aad\" y=\"122.966644\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"311.131933\" xlink:href=\"#m335aa75aad\" y=\"100.122419\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"225.616308\" xlink:href=\"#m335aa75aad\" y=\"117.77033\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"236.164437\" xlink:href=\"#m335aa75aad\" y=\"123.773637\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"256.31818\" xlink:href=\"#m335aa75aad\" y=\"109.628139\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"262.121047\" xlink:href=\"#m335aa75aad\" y=\"128.535314\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"257.624123\" xlink:href=\"#m335aa75aad\" y=\"122.395015\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"285.785767\" xlink:href=\"#m335aa75aad\" y=\"121.181675\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"261.132195\" xlink:href=\"#m335aa75aad\" y=\"127.083256\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"294.169156\" xlink:href=\"#m335aa75aad\" y=\"110.230915\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"272.855499\" xlink:href=\"#m335aa75aad\" y=\"106.367007\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"269.50423\" xlink:href=\"#m335aa75aad\" y=\"124.681508\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"245.567065\" xlink:href=\"#m335aa75aad\" y=\"108.52792\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"275.454512\" xlink:href=\"#m335aa75aad\" y=\"128.800565\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"289.596621\" xlink:href=\"#m335aa75aad\" y=\"111.074423\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"304.602929\" xlink:href=\"#m335aa75aad\" y=\"126.90777\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"279.174837\" xlink:href=\"#m335aa75aad\" y=\"126.96612\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"210.556702\" xlink:href=\"#m335aa75aad\" y=\"105.629427\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"320.389079\" xlink:href=\"#m335aa75aad\" y=\"121.876359\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"242.859185\" xlink:href=\"#m335aa75aad\" y=\"130.44131\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.48349\" xlink:href=\"#m335aa75aad\" y=\"116.771379\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"169.234368\" xlink:href=\"#m335aa75aad\" y=\"128.473327\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"340.144318\" xlink:href=\"#m335aa75aad\" y=\"137.964529\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"223.183295\" xlink:href=\"#m335aa75aad\" y=\"120.926469\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"238.088274\" xlink:href=\"#m335aa75aad\" y=\"136.808886\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"249.884946\" xlink:href=\"#m335aa75aad\" y=\"119.083562\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"270.627942\" xlink:href=\"#m335aa75aad\" y=\"144.143463\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"226.639992\" xlink:href=\"#m335aa75aad\" y=\"125.917158\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"292.675394\" xlink:href=\"#m335aa75aad\" y=\"121.256377\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"195.477764\" xlink:href=\"#m335aa75aad\" y=\"121.101103\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"259.868541\" xlink:href=\"#m335aa75aad\" y=\"116.385278\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"264.172454\" xlink:href=\"#m335aa75aad\" y=\"130.815736\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"250.820832\" xlink:href=\"#m335aa75aad\" y=\"115.725371\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"202.133629\" xlink:href=\"#m335aa75aad\" y=\"115.358976\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"271.287208\" xlink:href=\"#m335aa75aad\" y=\"125.250383\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"229.97543\" xlink:href=\"#m335aa75aad\" y=\"77.182382\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"281.914556\" xlink:href=\"#m335aa75aad\" y=\"104.012697\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"253.11689\" xlink:href=\"#m335aa75aad\" y=\"106.937211\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"286.991452\" xlink:href=\"#m335aa75aad\" y=\"117.147864\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.850318\" xlink:href=\"#m335aa75aad\" y=\"138.185875\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"269.133817\" xlink:href=\"#m335aa75aad\" y=\"126.923954\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"268.609228\" xlink:href=\"#m335aa75aad\" y=\"124.038237\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"252.881717\" xlink:href=\"#m335aa75aad\" y=\"114.473258\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.262492\" xlink:href=\"#m335aa75aad\" y=\"126.35599\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"231.797531\" xlink:href=\"#m335aa75aad\" y=\"114.832868\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"256.145957\" xlink:href=\"#m335aa75aad\" y=\"108.261552\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"257.00514\" xlink:href=\"#m335aa75aad\" y=\"120.902486\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"246.987206\" xlink:href=\"#m335aa75aad\" y=\"131.565985\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"247.499413\" xlink:href=\"#m335aa75aad\" y=\"115.617463\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"242.845819\" xlink:href=\"#m335aa75aad\" y=\"113.09793\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"278.134376\" xlink:href=\"#m335aa75aad\" y=\"133.219222\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"307.699217\" xlink:href=\"#m335aa75aad\" y=\"103.832818\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"296.502345\" xlink:href=\"#m335aa75aad\" y=\"117.761985\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"218.454561\" xlink:href=\"#m335aa75aad\" y=\"125.112964\"/>\r\n     <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"265.00498\" xlink:href=\"#m335aa75aad\" y=\"122.450394\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_2\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mb381cca961\" style=\"stroke:#008000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"160.023551\" xlink:href=\"#mb381cca961\" y=\"198.01665\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"154.919543\" xlink:href=\"#mb381cca961\" y=\"167.907453\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"95.141423\" xlink:href=\"#mb381cca961\" y=\"185.081149\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"158.190731\" xlink:href=\"#mb381cca961\" y=\"188.826846\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"168.967182\" xlink:href=\"#mb381cca961\" y=\"208.447746\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"101.333668\" xlink:href=\"#mb381cca961\" y=\"175.838118\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"148.351406\" xlink:href=\"#mb381cca961\" y=\"196.885482\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"79.481261\" xlink:href=\"#mb381cca961\" y=\"182.444696\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"99.794959\" xlink:href=\"#mb381cca961\" y=\"184.610462\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"158.491884\" xlink:href=\"#mb381cca961\" y=\"177.747429\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"150.951001\" xlink:href=\"#mb381cca961\" y=\"191.864578\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"162.719593\" xlink:href=\"#mb381cca961\" y=\"161.581692\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"121.238776\" xlink:href=\"#mb381cca961\" y=\"189.706986\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"164.450478\" xlink:href=\"#mb381cca961\" y=\"178.244873\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"136.250536\" xlink:href=\"#mb381cca961\" y=\"189.685487\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"161.116598\" xlink:href=\"#mb381cca961\" y=\"185.266902\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"155.920069\" xlink:href=\"#mb381cca961\" y=\"185.049997\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"147.188994\" xlink:href=\"#mb381cca961\" y=\"214.126118\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"115.055698\" xlink:href=\"#mb381cca961\" y=\"176.778653\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"148.503766\" xlink:href=\"#mb381cca961\" y=\"195.099295\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"133.081879\" xlink:href=\"#mb381cca961\" y=\"195.648482\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"160.030536\" xlink:href=\"#mb381cca961\" y=\"187.206693\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"152.932489\" xlink:href=\"#mb381cca961\" y=\"201.454666\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"115.419237\" xlink:href=\"#mb381cca961\" y=\"180.473123\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"123.143626\" xlink:href=\"#mb381cca961\" y=\"177.231166\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"138.713083\" xlink:href=\"#mb381cca961\" y=\"188.500497\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"163.519132\" xlink:href=\"#mb381cca961\" y=\"178.213505\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"153.710323\" xlink:href=\"#mb381cca961\" y=\"175.546112\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"159.321611\" xlink:href=\"#mb381cca961\" y=\"173.499535\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"161.343383\" xlink:href=\"#mb381cca961\" y=\"182.902012\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"151.600427\" xlink:href=\"#mb381cca961\" y=\"187.744512\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"85.31832\" xlink:href=\"#mb381cca961\" y=\"196.293173\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"142.50434\" xlink:href=\"#mb381cca961\" y=\"206.352318\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"156.972015\" xlink:href=\"#mb381cca961\" y=\"199.002857\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"131.259733\" xlink:href=\"#mb381cca961\" y=\"183.999824\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"151.182066\" xlink:href=\"#mb381cca961\" y=\"187.504693\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"104.218261\" xlink:href=\"#mb381cca961\" y=\"181.571456\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"130.992346\" xlink:href=\"#mb381cca961\" y=\"179.4134\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"126.897489\" xlink:href=\"#mb381cca961\" y=\"200.623244\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"145.335209\" xlink:href=\"#mb381cca961\" y=\"188.341108\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"167.515322\" xlink:href=\"#mb381cca961\" y=\"182.516696\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"138.651612\" xlink:href=\"#mb381cca961\" y=\"192.415781\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"155.696335\" xlink:href=\"#mb381cca961\" y=\"181.216587\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"120.841593\" xlink:href=\"#mb381cca961\" y=\"195.507099\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"122.302093\" xlink:href=\"#mb381cca961\" y=\"209.30712\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"121.883365\" xlink:href=\"#mb381cca961\" y=\"183.360482\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"111.235776\" xlink:href=\"#mb381cca961\" y=\"187.382248\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"144.220494\" xlink:href=\"#mb381cca961\" y=\"172.883623\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"136.142525\" xlink:href=\"#mb381cca961\" y=\"188.742991\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"163.877412\" xlink:href=\"#mb381cca961\" y=\"187.066234\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"122.254271\" xlink:href=\"#mb381cca961\" y=\"195.013523\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"102.439921\" xlink:href=\"#mb381cca961\" y=\"184.282449\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"107.715642\" xlink:href=\"#mb381cca961\" y=\"199.210079\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"157.157531\" xlink:href=\"#mb381cca961\" y=\"199.575689\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"130.063957\" xlink:href=\"#mb381cca961\" y=\"173.010956\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"135.917129\" xlink:href=\"#mb381cca961\" y=\"180.532895\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"162.307836\" xlink:href=\"#mb381cca961\" y=\"212.248985\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"162.219141\" xlink:href=\"#mb381cca961\" y=\"174.577501\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"141.340199\" xlink:href=\"#mb381cca961\" y=\"211.083793\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"157.240412\" xlink:href=\"#mb381cca961\" y=\"178.227204\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"150.633009\" xlink:href=\"#mb381cca961\" y=\"187.172321\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"156.967106\" xlink:href=\"#mb381cca961\" y=\"176.378735\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"117.512689\" xlink:href=\"#mb381cca961\" y=\"207.743468\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"132.105564\" xlink:href=\"#mb381cca961\" y=\"192.957338\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"120.09152\" xlink:href=\"#mb381cca961\" y=\"183.208788\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"119.289737\" xlink:href=\"#mb381cca961\" y=\"182.23314\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"78.700175\" xlink:href=\"#mb381cca961\" y=\"214.918795\"/>\r\n     <use style=\"fill:#008000;stroke:#008000;\" x=\"143.290099\" xlink:href=\"#mb381cca961\" y=\"184.604285\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_3\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mbcdb5521b8\" style=\"stroke:#ffd700;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"110.973664\" xlink:href=\"#mbcdb5521b8\" y=\"60.339686\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"149.230637\" xlink:href=\"#mbcdb5521b8\" y=\"60.175534\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"161.045705\" xlink:href=\"#mbcdb5521b8\" y=\"48.563896\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"89.568775\" xlink:href=\"#mbcdb5521b8\" y=\"48.819579\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"115.8054\" xlink:href=\"#mbcdb5521b8\" y=\"66.458391\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"125.112357\" xlink:href=\"#mbcdb5521b8\" y=\"44.468422\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"152.090751\" xlink:href=\"#mbcdb5521b8\" y=\"52.087181\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"151.957324\" xlink:href=\"#mbcdb5521b8\" y=\"53.283222\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"120.804509\" xlink:href=\"#mbcdb5521b8\" y=\"33.190784\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"121.047009\" xlink:href=\"#mbcdb5521b8\" y=\"39.044396\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"99.167098\" xlink:href=\"#mbcdb5521b8\" y=\"54.582892\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"122.779729\" xlink:href=\"#mbcdb5521b8\" y=\"36.71238\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"59.689137\" xlink:href=\"#mbcdb5521b8\" y=\"50.57549\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"133.614252\" xlink:href=\"#mbcdb5521b8\" y=\"53.372566\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"190.900601\" xlink:href=\"#mbcdb5521b8\" y=\"46.609857\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"152.943902\" xlink:href=\"#mbcdb5521b8\" y=\"57.809427\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"68.616284\" xlink:href=\"#mbcdb5521b8\" y=\"50.97398\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"158.531379\" xlink:href=\"#mbcdb5521b8\" y=\"52.224705\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"63.040562\" xlink:href=\"#mbcdb5521b8\" y=\"49.604433\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"157.526032\" xlink:href=\"#mbcdb5521b8\" y=\"47.78833\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"118.454982\" xlink:href=\"#mbcdb5521b8\" y=\"24.317773\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"68.598429\" xlink:href=\"#mbcdb5521b8\" y=\"37.788215\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"81.261168\" xlink:href=\"#mbcdb5521b8\" y=\"51.935789\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"123.109126\" xlink:href=\"#mbcdb5521b8\" y=\"35.889105\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"147.631445\" xlink:href=\"#mbcdb5521b8\" y=\"37.206113\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"91.762853\" xlink:href=\"#mbcdb5521b8\" y=\"35.747366\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"80.368176\" xlink:href=\"#mbcdb5521b8\" y=\"45.878637\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"95.181705\" xlink:href=\"#mbcdb5521b8\" y=\"61.484045\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"140.45656\" xlink:href=\"#mbcdb5521b8\" y=\"39.480374\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"145.48189\" xlink:href=\"#mbcdb5521b8\" y=\"42.349718\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"119.18297\" xlink:href=\"#mbcdb5521b8\" y=\"57.607671\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"163.411605\" xlink:href=\"#mbcdb5521b8\" y=\"25.454669\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"112.807264\" xlink:href=\"#mbcdb5521b8\" y=\"50.316572\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"136.831116\" xlink:href=\"#mbcdb5521b8\" y=\"37.080051\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"86.168589\" xlink:href=\"#mbcdb5521b8\" y=\"57.820426\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"125.723575\" xlink:href=\"#mbcdb5521b8\" y=\"30.665441\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"124.213935\" xlink:href=\"#mbcdb5521b8\" y=\"49.456903\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"101.943468\" xlink:href=\"#mbcdb5521b8\" y=\"52.382648\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"105.076295\" xlink:href=\"#mbcdb5521b8\" y=\"36.900727\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"137.971536\" xlink:href=\"#mbcdb5521b8\" y=\"49.05857\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"145.842349\" xlink:href=\"#mbcdb5521b8\" y=\"27.35243\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"78.948182\" xlink:href=\"#mbcdb5521b8\" y=\"25.868699\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"99.28958\" xlink:href=\"#mbcdb5521b8\" y=\"45.074545\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"161.015563\" xlink:href=\"#mbcdb5521b8\" y=\"18.642631\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"136.181554\" xlink:href=\"#mbcdb5521b8\" y=\"53.131682\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"182.021623\" xlink:href=\"#mbcdb5521b8\" y=\"55.814787\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"105.313268\" xlink:href=\"#mbcdb5521b8\" y=\"60.734291\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"123.067194\" xlink:href=\"#mbcdb5521b8\" y=\"51.340352\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"110.082146\" xlink:href=\"#mbcdb5521b8\" y=\"41.709204\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"111.538762\" xlink:href=\"#mbcdb5521b8\" y=\"51.053898\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"153.799644\" xlink:href=\"#mbcdb5521b8\" y=\"37.909287\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"150.043607\" xlink:href=\"#mbcdb5521b8\" y=\"43.008239\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"168.357337\" xlink:href=\"#mbcdb5521b8\" y=\"34.357598\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"160.025891\" xlink:href=\"#mbcdb5521b8\" y=\"51.42159\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"48.398493\" xlink:href=\"#mbcdb5521b8\" y=\"56.0311\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"95.262863\" xlink:href=\"#mbcdb5521b8\" y=\"44.082304\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"125.375674\" xlink:href=\"#mbcdb5521b8\" y=\"49.110738\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"93.85083\" xlink:href=\"#mbcdb5521b8\" y=\"37.163911\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"106.116516\" xlink:href=\"#mbcdb5521b8\" y=\"80.369466\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"113.74822\" xlink:href=\"#mbcdb5521b8\" y=\"25.935551\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"102.309054\" xlink:href=\"#mbcdb5521b8\" y=\"59.030067\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"58.288123\" xlink:href=\"#mbcdb5521b8\" y=\"37.151993\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"117.43182\" xlink:href=\"#mbcdb5521b8\" y=\"67.245834\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"84.973512\" xlink:href=\"#mbcdb5521b8\" y=\"39.034994\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"126.354267\" xlink:href=\"#mbcdb5521b8\" y=\"59.963466\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"35.780682\" xlink:href=\"#mbcdb5521b8\" y=\"20.205459\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"121.294973\" xlink:href=\"#mbcdb5521b8\" y=\"46.026624\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"111.050048\" xlink:href=\"#mbcdb5521b8\" y=\"45.316455\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"128.392175\" xlink:href=\"#mbcdb5521b8\" y=\"55.339547\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"99.490905\" xlink:href=\"#mbcdb5521b8\" y=\"50.71594\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"81.460432\" xlink:href=\"#mbcdb5521b8\" y=\"46.061755\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"111.396887\" xlink:href=\"#mbcdb5521b8\" y=\"46.167411\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"123.983862\" xlink:href=\"#mbcdb5521b8\" y=\"48.377163\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"87.878348\" xlink:href=\"#mbcdb5521b8\" y=\"61.377004\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"81.380301\" xlink:href=\"#mbcdb5521b8\" y=\"59.548086\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"102.430279\" xlink:href=\"#mbcdb5521b8\" y=\"41.592541\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"61.776817\" xlink:href=\"#mbcdb5521b8\" y=\"41.6376\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"57.721901\" xlink:href=\"#mbcdb5521b8\" y=\"55.883521\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"55.894725\" xlink:href=\"#mbcdb5521b8\" y=\"27.053096\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"126.989547\" xlink:href=\"#mbcdb5521b8\" y=\"46.16227\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"122.232468\" xlink:href=\"#mbcdb5521b8\" y=\"30.033762\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"118.568075\" xlink:href=\"#mbcdb5521b8\" y=\"54.244399\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"220.706497\" xlink:href=\"#mbcdb5521b8\" y=\"28.47894\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"131.1829\" xlink:href=\"#mbcdb5521b8\" y=\"43.54706\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"137.150443\" xlink:href=\"#mbcdb5521b8\" y=\"39.103334\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"110.529842\" xlink:href=\"#mbcdb5521b8\" y=\"60.729424\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"64.369896\" xlink:href=\"#mbcdb5521b8\" y=\"45.486885\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"158.852356\" xlink:href=\"#mbcdb5521b8\" y=\"25.362898\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"154.202327\" xlink:href=\"#mbcdb5521b8\" y=\"46.165323\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"131.227221\" xlink:href=\"#mbcdb5521b8\" y=\"45.517328\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"51.018156\" xlink:href=\"#mbcdb5521b8\" y=\"35.886862\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"138.792934\" xlink:href=\"#mbcdb5521b8\" y=\"38.536543\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"127.50578\" xlink:href=\"#mbcdb5521b8\" y=\"47.413525\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"185.392346\" xlink:href=\"#mbcdb5521b8\" y=\"43.080259\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"118.705702\" xlink:href=\"#mbcdb5521b8\" y=\"38.145374\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"94.37504\" xlink:href=\"#mbcdb5521b8\" y=\"46.364967\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"86.428027\" xlink:href=\"#mbcdb5521b8\" y=\"57.869606\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"106.870431\" xlink:href=\"#mbcdb5521b8\" y=\"33.667435\"/>\r\n     <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"78.493292\" xlink:href=\"#mbcdb5521b8\" y=\"21.078018\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m1a148d1a72\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.611547\" xlink:href=\"#m1a148d1a72\" y=\"226.198995\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- 0 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n      </defs>\r\n      <g transform=\"translate(41.430297 240.797432)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"116.662852\" xlink:href=\"#m1a148d1a72\" y=\"226.198995\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- 2 -->\r\n      <defs>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n      </defs>\r\n      <g transform=\"translate(113.481602 240.797432)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"188.714157\" xlink:href=\"#m1a148d1a72\" y=\"226.198995\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- 4 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(185.532907 240.797432)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"260.765462\" xlink:href=\"#m1a148d1a72\" y=\"226.198995\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- 6 -->\r\n      <defs>\r\n       <path d=\"M 33.015625 40.375 \r\nQ 26.375 40.375 22.484375 35.828125 \r\nQ 18.609375 31.296875 18.609375 23.390625 \r\nQ 18.609375 15.53125 22.484375 10.953125 \r\nQ 26.375 6.390625 33.015625 6.390625 \r\nQ 39.65625 6.390625 43.53125 10.953125 \r\nQ 47.40625 15.53125 47.40625 23.390625 \r\nQ 47.40625 31.296875 43.53125 35.828125 \r\nQ 39.65625 40.375 33.015625 40.375 \r\nz\r\nM 52.59375 71.296875 \r\nL 52.59375 62.3125 \r\nQ 48.875 64.0625 45.09375 64.984375 \r\nQ 41.3125 65.921875 37.59375 65.921875 \r\nQ 27.828125 65.921875 22.671875 59.328125 \r\nQ 17.53125 52.734375 16.796875 39.40625 \r\nQ 19.671875 43.65625 24.015625 45.921875 \r\nQ 28.375 48.1875 33.59375 48.1875 \r\nQ 44.578125 48.1875 50.953125 41.515625 \r\nQ 57.328125 34.859375 57.328125 23.390625 \r\nQ 57.328125 12.15625 50.6875 5.359375 \r\nQ 44.046875 -1.421875 33.015625 -1.421875 \r\nQ 20.359375 -1.421875 13.671875 8.265625 \r\nQ 6.984375 17.96875 6.984375 36.375 \r\nQ 6.984375 53.65625 15.1875 63.9375 \r\nQ 23.390625 74.21875 37.203125 74.21875 \r\nQ 40.921875 74.21875 44.703125 73.484375 \r\nQ 48.484375 72.75 52.59375 71.296875 \r\nz\r\n\" id=\"DejaVuSans-54\"/>\r\n      </defs>\r\n      <g transform=\"translate(257.584212 240.797432)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.816767\" xlink:href=\"#m1a148d1a72\" y=\"226.198995\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 8 -->\r\n      <defs>\r\n       <path d=\"M 31.78125 34.625 \r\nQ 24.75 34.625 20.71875 30.859375 \r\nQ 16.703125 27.09375 16.703125 20.515625 \r\nQ 16.703125 13.921875 20.71875 10.15625 \r\nQ 24.75 6.390625 31.78125 6.390625 \r\nQ 38.8125 6.390625 42.859375 10.171875 \r\nQ 46.921875 13.96875 46.921875 20.515625 \r\nQ 46.921875 27.09375 42.890625 30.859375 \r\nQ 38.875 34.625 31.78125 34.625 \r\nz\r\nM 21.921875 38.8125 \r\nQ 15.578125 40.375 12.03125 44.71875 \r\nQ 8.5 49.078125 8.5 55.328125 \r\nQ 8.5 64.0625 14.71875 69.140625 \r\nQ 20.953125 74.21875 31.78125 74.21875 \r\nQ 42.671875 74.21875 48.875 69.140625 \r\nQ 55.078125 64.0625 55.078125 55.328125 \r\nQ 55.078125 49.078125 51.53125 44.71875 \r\nQ 48 40.375 41.703125 38.8125 \r\nQ 48.828125 37.15625 52.796875 32.3125 \r\nQ 56.78125 27.484375 56.78125 20.515625 \r\nQ 56.78125 9.90625 50.3125 4.234375 \r\nQ 43.84375 -1.421875 31.78125 -1.421875 \r\nQ 19.734375 -1.421875 13.25 4.234375 \r\nQ 6.78125 9.90625 6.78125 20.515625 \r\nQ 6.78125 27.484375 10.78125 32.3125 \r\nQ 14.796875 37.15625 21.921875 38.8125 \r\nz\r\nM 18.3125 54.390625 \r\nQ 18.3125 48.734375 21.84375 45.5625 \r\nQ 25.390625 42.390625 31.78125 42.390625 \r\nQ 38.140625 42.390625 41.71875 45.5625 \r\nQ 45.3125 48.734375 45.3125 54.390625 \r\nQ 45.3125 60.0625 41.71875 63.234375 \r\nQ 38.140625 66.40625 31.78125 66.40625 \r\nQ 25.390625 66.40625 21.84375 63.234375 \r\nQ 18.3125 60.0625 18.3125 54.390625 \r\nz\r\n\" id=\"DejaVuSans-56\"/>\r\n      </defs>\r\n      <g transform=\"translate(329.635517 240.797432)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-56\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_6\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"md02f037f5a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"223.608215\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(7.2 227.407433)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_7\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"188.173382\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 1 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 191.972601)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"152.738549\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 2 -->\r\n      <g transform=\"translate(7.2 156.537768)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"117.303717\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 3 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 121.102935)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_10\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"81.868884\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 4 -->\r\n      <g transform=\"translate(7.2 85.668103)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"46.434051\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 5 -->\r\n      <defs>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 50.23327)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"20.5625\" xlink:href=\"#md02f037f5a\" y=\"10.999219\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 6 -->\r\n      <g transform=\"translate(7.2 14.798437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-54\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_13\">\r\n    <path clip-path=\"url(#pe959cf5ec1)\" d=\"M 275.154641 120.933325 \r\nL 235.932284 141.808496 \r\nL 228.694394 145.868495 \r\nL 227.519835 145.209317 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <defs>\r\n     <path d=\"M -5 5 \r\nL 5 -5 \r\nM -5 -5 \r\nL 5 5 \r\n\" id=\"m951487598a\" style=\"stroke:#ff0000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"275.154641\" xlink:href=\"#m951487598a\" y=\"120.933325\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"235.932284\" xlink:href=\"#m951487598a\" y=\"141.808496\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"228.694394\" xlink:href=\"#m951487598a\" y=\"145.868495\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"227.519835\" xlink:href=\"#m951487598a\" y=\"145.209317\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_14\">\r\n    <path clip-path=\"url(#pe959cf5ec1)\" d=\"M 133.614252 53.372566 \r\nL 112.466886 99.635259 \r\nL 104.36371 111.194061 \r\nL 107.100588 148.56548 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"133.614252\" xlink:href=\"#m951487598a\" y=\"53.372566\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"112.466886\" xlink:href=\"#m951487598a\" y=\"99.635259\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"104.36371\" xlink:href=\"#m951487598a\" y=\"111.194061\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"107.100588\" xlink:href=\"#m951487598a\" y=\"148.56548\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"line2d_15\">\r\n    <path clip-path=\"url(#pe959cf5ec1)\" d=\"M 160.025891 51.42159 \r\nL 164.484415 77.053335 \r\nL 146.81113 44.995202 \r\nL 124.504933 43.814274 \r\n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\r\n    <g clip-path=\"url(#pe959cf5ec1)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"160.025891\" xlink:href=\"#m951487598a\" y=\"51.42159\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"164.484415\" xlink:href=\"#m951487598a\" y=\"77.053335\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"146.81113\" xlink:href=\"#m951487598a\" y=\"44.995202\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"124.504933\" xlink:href=\"#m951487598a\" y=\"43.814274\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 20.5625 226.198995 \r\nL 20.5625 8.758995 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 355.3625 226.198995 \r\nL 355.3625 8.758995 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 20.5625 226.198995 \r\nL 355.3625 226.198995 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 20.5625 8.758995 \r\nL 355.3625 8.758995 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"legend_1\">\r\n    <g id=\"patch_7\">\r\n     <path d=\"M 271.329687 60.79337 \r\nL 348.3625 60.79337 \r\nQ 350.3625 60.79337 350.3625 58.79337 \r\nL 350.3625 15.758995 \r\nQ 350.3625 13.758995 348.3625 13.758995 \r\nL 271.329687 13.758995 \r\nQ 269.329687 13.758995 269.329687 15.758995 \r\nL 269.329687 58.79337 \r\nQ 269.329687 60.79337 271.329687 60.79337 \r\nz\r\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\r\n    </g>\r\n    <g id=\"PathCollection_4\">\r\n     <g>\r\n      <use style=\"fill:#0000ff;stroke:#0000ff;\" x=\"283.329687\" xlink:href=\"#m335aa75aad\" y=\"22.732432\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_13\">\r\n     <!-- Cluster 0 -->\r\n     <defs>\r\n      <path d=\"M 64.40625 67.28125 \r\nL 64.40625 56.890625 \r\nQ 59.421875 61.53125 53.78125 63.8125 \r\nQ 48.140625 66.109375 41.796875 66.109375 \r\nQ 29.296875 66.109375 22.65625 58.46875 \r\nQ 16.015625 50.828125 16.015625 36.375 \r\nQ 16.015625 21.96875 22.65625 14.328125 \r\nQ 29.296875 6.6875 41.796875 6.6875 \r\nQ 48.140625 6.6875 53.78125 8.984375 \r\nQ 59.421875 11.28125 64.40625 15.921875 \r\nL 64.40625 5.609375 \r\nQ 59.234375 2.09375 53.4375 0.328125 \r\nQ 47.65625 -1.421875 41.21875 -1.421875 \r\nQ 24.65625 -1.421875 15.125 8.703125 \r\nQ 5.609375 18.84375 5.609375 36.375 \r\nQ 5.609375 53.953125 15.125 64.078125 \r\nQ 24.65625 74.21875 41.21875 74.21875 \r\nQ 47.75 74.21875 53.53125 72.484375 \r\nQ 59.328125 70.75 64.40625 67.28125 \r\nz\r\n\" id=\"DejaVuSans-67\"/>\r\n      <path d=\"M 9.421875 75.984375 \r\nL 18.40625 75.984375 \r\nL 18.40625 0 \r\nL 9.421875 0 \r\nz\r\n\" id=\"DejaVuSans-108\"/>\r\n      <path d=\"M 8.5 21.578125 \r\nL 8.5 54.6875 \r\nL 17.484375 54.6875 \r\nL 17.484375 21.921875 \r\nQ 17.484375 14.15625 20.5 10.265625 \r\nQ 23.53125 6.390625 29.59375 6.390625 \r\nQ 36.859375 6.390625 41.078125 11.03125 \r\nQ 45.3125 15.671875 45.3125 23.6875 \r\nL 45.3125 54.6875 \r\nL 54.296875 54.6875 \r\nL 54.296875 0 \r\nL 45.3125 0 \r\nL 45.3125 8.40625 \r\nQ 42.046875 3.421875 37.71875 1 \r\nQ 33.40625 -1.421875 27.6875 -1.421875 \r\nQ 18.265625 -1.421875 13.375 4.4375 \r\nQ 8.5 10.296875 8.5 21.578125 \r\nz\r\nM 31.109375 56 \r\nz\r\n\" id=\"DejaVuSans-117\"/>\r\n      <path d=\"M 44.28125 53.078125 \r\nL 44.28125 44.578125 \r\nQ 40.484375 46.53125 36.375 47.5 \r\nQ 32.28125 48.484375 27.875 48.484375 \r\nQ 21.1875 48.484375 17.84375 46.4375 \r\nQ 14.5 44.390625 14.5 40.28125 \r\nQ 14.5 37.15625 16.890625 35.375 \r\nQ 19.28125 33.59375 26.515625 31.984375 \r\nL 29.59375 31.296875 \r\nQ 39.15625 29.25 43.1875 25.515625 \r\nQ 47.21875 21.78125 47.21875 15.09375 \r\nQ 47.21875 7.46875 41.1875 3.015625 \r\nQ 35.15625 -1.421875 24.609375 -1.421875 \r\nQ 20.21875 -1.421875 15.453125 -0.5625 \r\nQ 10.6875 0.296875 5.421875 2 \r\nL 5.421875 11.28125 \r\nQ 10.40625 8.6875 15.234375 7.390625 \r\nQ 20.0625 6.109375 24.8125 6.109375 \r\nQ 31.15625 6.109375 34.5625 8.28125 \r\nQ 37.984375 10.453125 37.984375 14.40625 \r\nQ 37.984375 18.0625 35.515625 20.015625 \r\nQ 33.0625 21.96875 24.703125 23.78125 \r\nL 21.578125 24.515625 \r\nQ 13.234375 26.265625 9.515625 29.90625 \r\nQ 5.8125 33.546875 5.8125 39.890625 \r\nQ 5.8125 47.609375 11.28125 51.796875 \r\nQ 16.75 56 26.8125 56 \r\nQ 31.78125 56 36.171875 55.265625 \r\nQ 40.578125 54.546875 44.28125 53.078125 \r\nz\r\n\" id=\"DejaVuSans-115\"/>\r\n      <path d=\"M 18.3125 70.21875 \r\nL 18.3125 54.6875 \r\nL 36.8125 54.6875 \r\nL 36.8125 47.703125 \r\nL 18.3125 47.703125 \r\nL 18.3125 18.015625 \r\nQ 18.3125 11.328125 20.140625 9.421875 \r\nQ 21.96875 7.515625 27.59375 7.515625 \r\nL 36.8125 7.515625 \r\nL 36.8125 0 \r\nL 27.59375 0 \r\nQ 17.1875 0 13.234375 3.875 \r\nQ 9.28125 7.765625 9.28125 18.015625 \r\nL 9.28125 47.703125 \r\nL 2.6875 47.703125 \r\nL 2.6875 54.6875 \r\nL 9.28125 54.6875 \r\nL 9.28125 70.21875 \r\nz\r\n\" id=\"DejaVuSans-116\"/>\r\n      <path d=\"M 56.203125 29.59375 \r\nL 56.203125 25.203125 \r\nL 14.890625 25.203125 \r\nQ 15.484375 15.921875 20.484375 11.0625 \r\nQ 25.484375 6.203125 34.421875 6.203125 \r\nQ 39.59375 6.203125 44.453125 7.46875 \r\nQ 49.3125 8.734375 54.109375 11.28125 \r\nL 54.109375 2.78125 \r\nQ 49.265625 0.734375 44.1875 -0.34375 \r\nQ 39.109375 -1.421875 33.890625 -1.421875 \r\nQ 20.796875 -1.421875 13.15625 6.1875 \r\nQ 5.515625 13.8125 5.515625 26.8125 \r\nQ 5.515625 40.234375 12.765625 48.109375 \r\nQ 20.015625 56 32.328125 56 \r\nQ 43.359375 56 49.78125 48.890625 \r\nQ 56.203125 41.796875 56.203125 29.59375 \r\nz\r\nM 47.21875 32.234375 \r\nQ 47.125 39.59375 43.09375 43.984375 \r\nQ 39.0625 48.390625 32.421875 48.390625 \r\nQ 24.90625 48.390625 20.390625 44.140625 \r\nQ 15.875 39.890625 15.1875 32.171875 \r\nz\r\n\" id=\"DejaVuSans-101\"/>\r\n      <path d=\"M 41.109375 46.296875 \r\nQ 39.59375 47.171875 37.8125 47.578125 \r\nQ 36.03125 48 33.890625 48 \r\nQ 26.265625 48 22.1875 43.046875 \r\nQ 18.109375 38.09375 18.109375 28.8125 \r\nL 18.109375 0 \r\nL 9.078125 0 \r\nL 9.078125 54.6875 \r\nL 18.109375 54.6875 \r\nL 18.109375 46.1875 \r\nQ 20.953125 51.171875 25.484375 53.578125 \r\nQ 30.03125 56 36.53125 56 \r\nQ 37.453125 56 38.578125 55.875 \r\nQ 39.703125 55.765625 41.0625 55.515625 \r\nz\r\n\" id=\"DejaVuSans-114\"/>\r\n      <path id=\"DejaVuSans-32\"/>\r\n     </defs>\r\n     <g transform=\"translate(301.329687 25.357432)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-48\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_5\">\r\n     <g>\r\n      <use style=\"fill:#008000;stroke:#008000;\" x=\"283.329687\" xlink:href=\"#mb381cca961\" y=\"37.410557\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_14\">\r\n     <!-- Cluster 1 -->\r\n     <g transform=\"translate(301.329687 40.035557)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-49\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"PathCollection_6\">\r\n     <g>\r\n      <use style=\"fill:#ffd700;stroke:#ffd700;\" x=\"283.329687\" xlink:href=\"#mbcdb5521b8\" y=\"52.088682\"/>\r\n     </g>\r\n    </g>\r\n    <g id=\"text_15\">\r\n     <!-- Cluster 2 -->\r\n     <g transform=\"translate(301.329687 54.713682)scale(0.1 -0.1)\">\r\n      <use xlink:href=\"#DejaVuSans-67\"/>\r\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-108\"/>\r\n      <use x=\"97.607422\" xlink:href=\"#DejaVuSans-117\"/>\r\n      <use x=\"160.986328\" xlink:href=\"#DejaVuSans-115\"/>\r\n      <use x=\"213.085938\" xlink:href=\"#DejaVuSans-116\"/>\r\n      <use x=\"252.294922\" xlink:href=\"#DejaVuSans-101\"/>\r\n      <use x=\"313.818359\" xlink:href=\"#DejaVuSans-114\"/>\r\n      <use x=\"354.931641\" xlink:href=\"#DejaVuSans-32\"/>\r\n      <use x=\"386.71875\" xlink:href=\"#DejaVuSans-50\"/>\r\n     </g>\r\n    </g>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"pe959cf5ec1\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"20.5625\" y=\"8.758995\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "centr_classfi,centres = K_means(X2,3)\n",
    "plotData(X2, centres,centr_classfi,loc=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Image compression with K-means\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "mat3 = loadmat('./ex7_data/bird_small.mat')\n",
    "A = mat3['A']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "X3 = A.reshape(-1,3)\n",
    "cs, c = K_means(X3,16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "([], <a list of 0 Text major ticklabel objects>)"
     },
     "metadata": {},
     "execution_count": 122
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 288x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"244.6pt\" version=\"1.1\" viewBox=\"0 0 241.1 244.6\" width=\"241.1pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 244.6 \r\nL 241.1 244.6 \r\nL 241.1 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\nL 233.9 10.7 \r\nL 10.7 10.7 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g clip-path=\"url(#ped9936945f)\">\r\n    <image height=\"224\" id=\"image457cd445a8\" transform=\"scale(1 -1)translate(0 -224)\" width=\"224\" x=\"10.7\" xlink:href=\"data:image/png;base64,\r\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\" y=\"-9.9\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\"/>\r\n   <g id=\"matplotlib.axis_2\"/>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 10.7 233.9 \r\nL 10.7 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 233.9 233.9 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 10.7 10.7 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"ped9936945f\">\r\n   <rect height=\"223.2\" width=\"223.2\" x=\"10.7\" y=\"10.7\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "pre_image = X3\n",
    "cs = np.array(cs)\n",
    "c_ = c[3]\n",
    "for i in range(16):\n",
    "    index_cs = np.argwhere(cs == i).flatten()\n",
    "    pre_image[index_cs] = c_[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "([], <a list of 0 Text major ticklabel objects>)"
     },
     "metadata": {},
     "execution_count": 130
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 288x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"244.6pt\" version=\"1.1\" viewBox=\"0 0 241.1 244.6\" width=\"241.1pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 244.6 \r\nL 241.1 244.6 \r\nL 241.1 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\nL 233.9 10.7 \r\nL 10.7 10.7 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g clip-path=\"url(#p8fddd78c61)\">\r\n    <image height=\"224\" id=\"image74d0e222b8\" transform=\"scale(1 -1)translate(0 -224)\" width=\"224\" x=\"10.7\" xlink:href=\"data:image/png;base64,\r\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\" y=\"-9.9\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\"/>\r\n   <g id=\"matplotlib.axis_2\"/>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 10.7 233.9 \r\nL 10.7 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 233.9 233.9 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 10.7 10.7 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p8fddd78c61\">\r\n   <rect height=\"223.2\" width=\"223.2\" x=\"10.7\" y=\"10.7\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {}
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 288x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"244.6pt\" version=\"1.1\" viewBox=\"0 0 241.1 244.6\" width=\"241.1pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 244.6 \r\nL 241.1 244.6 \r\nL 241.1 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\nL 233.9 10.7 \r\nL 10.7 10.7 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g clip-path=\"url(#pbc1e8a933a)\">\r\n    <image height=\"224\" id=\"image92f8de2d82\" transform=\"scale(1 -1)translate(0 -224)\" width=\"224\" x=\"10.7\" xlink:href=\"data:image/png;base64,\r\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\" y=\"-9.9\"/>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\"/>\r\n   <g id=\"matplotlib.axis_2\"/>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 10.7 233.9 \r\nL 10.7 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 233.9 233.9 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 10.7 233.9 \r\nL 233.9 233.9 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 10.7 10.7 \r\nL 233.9 10.7 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"pbc1e8a933a\">\r\n   <rect height=\"223.2\" width=\"223.2\" x=\"10.7\" y=\"10.7\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "pre_image = pre_image.reshape(128,128,3)\n",
    "plt.matshow(A)\n",
    "plt.yticks([])\n",
    "plt.xticks([])\n",
    "plt.matshow(pre_image)\n",
    "plt.yticks([])\n",
    "plt.xticks([])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}